Pith Number

pith:DZMDSVHN

pith:2026:DZMDSVHNP4DQKTT3OG3DV5HNFW

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Chewing gums, snakes and candle cakes

Benedetta Facciotti, Marta Mazzocco, Nikita Nikolaev

Colliding boundary components on a Riemann surface produce the bordered cusped Teichmuller space as a confluent limit via the chewing-gum move.

arxiv:2605.12572 v1 · 2026-05-12 · math.GT · math-ph · math.MP

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Record completeness

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3 Author claim open · sign in to claim

4 Citations open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

the bordered cusped Teichmuller space arises as a confluent limit when two boundary components in the Riemann surface collide via the so-called chewing-gum move giving rise to a candle cake

C2weakest assumption

that the chewing-gum move correctly captures the confluent limit of colliding boundaries and inverts amalgamation in the higher Teichmuller setting

C3one line summary

Lecture notes illustrate how bordered cusped Teichmuller spaces arise from classical ones via chewing-gum moves that invert amalgamation in the Fock-Goncharov framework.

References

21 extracted · 21 resolved · 1 Pith anchors

[1] Burger, M., Iozzi, A., Wienhard, A.: Surface group representations with maximal Toledo invariant. C. R. Math. Acad. Sci. Paris336(5), 387–390 (2003) 2003

[2] Chekhov, L., Fock, V.V.: A quantum Teichm¨ uller space. Theor. Math. Phys.120, 1245–1259 (1999) 1999

[3] Chekhov, L.O., Mazzocco, M.: Colliding holes in Riemann surfaces and quantum cluster algebras. Nonlinearity31(1), 54–107 (2018) 2018

[4] Chekhov, L.O., Mazzocco, M., Rubtsov, V.: Painlev´e monodromy manifolds, decorated character varieties, and cluster algebras. Int. Math. Res. Not. IMRN2017(24), 7639–7691 (2017). doi: 10.1093/imrn/rnw 2017 · doi:10.1093/imrn/rnw219

[5] A representation the- orem for locally compact quantum groups 2018 · doi:10.1093/oso/9780198802013.003.0003

Receipt and verification

First computed	2026-05-18T03:10:01.699253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e583954ed7f07054e7b71b63af4ed2d969f2b3d1e6c040a8e0995744cf7c6a1

Aliases

arxiv: 2605.12572 · arxiv_version: 2605.12572v1 · doi: 10.48550/arxiv.2605.12572 · pith_short_12: DZMDSVHNP4DQ · pith_short_16: DZMDSVHNP4DQKTT3 · pith_short_8: DZMDSVHN

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DZMDSVHNP4DQKTT3OG3DV5HNFW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1e583954ed7f07054e7b71b63af4ed2d969f2b3d1e6c040a8e0995744cf7c6a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78bec1bd84c43390f366c91fecc0f7ec7d2782b3b6f89baaf13f11c44281a75b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-05-12T11:18:38Z",
    "title_canon_sha256": "d792fdea416a6304dae0002af5fac085d10f7a4a18df3a8949ecb54a9886280c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.12572",
    "kind": "arxiv",
    "version": 1
  }
}