Pith Number

pith:NTQ4VHHJ

pith:2010:NTQ4VHHJ6HU2JOKDRNLMIZQNUK

not attested not anchored not stored refs pending

Centrally extended mapping class groups from quantum Teichmuller theory

Louis Funar, Rinat M. Kashaev

arxiv:1003.5365 v2 · 2010-03-28 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NTQ4VHHJ6HU2JOKDRNLMIZQNUK}

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	2026-05-18T01:20:59.706487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ce1ca9ce9f1e9a4b9438b56c4660da2b108b488027e0e7d5094a73977265110

Aliases

arxiv: 1003.5365 · arxiv_version: 1003.5365v2 · doi: 10.48550/arxiv.1003.5365 · pith_short_12: NTQ4VHHJ6HU2 · pith_short_16: NTQ4VHHJ6HU2JOKD · pith_short_8: NTQ4VHHJ

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/NTQ4VHHJ6HU2JOKDRNLMIZQNUK \
  | 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: 6ce1ca9ce9f1e9a4b9438b56c4660da2b108b488027e0e7d5094a73977265110

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "508e43b2cae5e91f84e908a97a238d2638712fbc74590f9b80d3cd0dc7c08ea7",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-03-28T12:41:40Z",
    "title_canon_sha256": "fb7bc1d37cdd821913f01283b77936e0176b9de1f743566937e8c169ce4e8cbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5365",
    "kind": "arxiv",
    "version": 2
  }
}