Pith Number

pith:BKVS6EO6

pith:2026:BKVS6EO6YJQKZZ2VTJCKHOUDJO

not attested not anchored not stored refs pending

The combinatorial structure of the unit tangent spheres and cotangent spheres of Teichm{\"u}ller space with Thurston's Finsler metric

Athanase Papadopoulos (IRMA, Ken'Ichi Ohshika (MPI), MPI)

arxiv:2605.26777 v1 · 2026-05-26 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKVS6EO6YJQKZZ2VTJCKHOUDJO}

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	2026-05-27T01:06:12.143544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aab2f11dec260ace7559a44a3ba834b9404b9382403ec08e92a1e1a3a96214f

Aliases

arxiv: 2605.26777 · arxiv_version: 2605.26777v1 · doi: 10.48550/arxiv.2605.26777 · pith_short_12: BKVS6EO6YJQK · pith_short_16: BKVS6EO6YJQKZZ2V · pith_short_8: BKVS6EO6

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/BKVS6EO6YJQKZZ2VTJCKHOUDJO \
  | 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: 0aab2f11dec260ace7559a44a3ba834b9404b9382403ec08e92a1e1a3a96214f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73eace83a1c1cd8e6e568985509d860e455202fdd926ca1b9ace896ea6f9cf76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-05-26T09:48:11Z",
    "title_canon_sha256": "994392034a614fd5b79a950646d1bd4f8290894dd2b3090ebac744beba9405f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26777",
    "kind": "arxiv",
    "version": 1
  }
}