Pith Number

pith:VLCLXDA6

pith:2026:VLCLXDA6HYH35TNLEAOQJTQH5K

not attested not anchored not stored refs pending

Complex dynamics perspective for birational maps of the plane arising from cluster algebra mutations

Andrei Grigorev, Andres Quintero Santander, Krishna Chaitanya Kalidindi, Roland Roeder

arxiv:2607.08125 v1 · 2026-07-09 · math.DS · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VLCLXDA6HYH35TNLEAOQJTQH5K}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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.

Receipt and verification

First computed	2026-07-10T01:19:27.353718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aac4bb8c1e3e0fbecdab201d04ce07ea848558ea51665e3cc9b300b305ea3e40

Aliases

arxiv: 2607.08125 · arxiv_version: 2607.08125v1 · doi: 10.48550/arxiv.2607.08125 · pith_short_12: VLCLXDA6HYH3 · pith_short_16: VLCLXDA6HYH35TNL · pith_short_8: VLCLXDA6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VLCLXDA6HYH35TNLEAOQJTQH5K \
  | 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: aac4bb8c1e3e0fbecdab201d04ce07ea848558ea51665e3cc9b300b305ea3e40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3bb9d9d85ecdf71c4b682dfa41dfc61f3f30b284f8253ac2e5b6ab8356a1efc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-09T05:53:55Z",
    "title_canon_sha256": "e0cfc61ec3c6f6f9b362772c4587f676627d10c92ae3a4e7546fb65f7c77867b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08125",
    "kind": "arxiv",
    "version": 1
  }
}