Pith Number

pith:P6XADYNJ

pith:2009:P6XADYNJ6YN6G4ZJDDXCW6W73C

not attested not anchored not stored refs pending

Two questions on mapping class groups

Louis Funar

arxiv:0910.1491 v2 · 2009-10-08 · 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{P6XADYNJ6YN6G4ZJDDXCW6W73C}

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	2026-05-18T04:32:19.777247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fae01e1a9f61be3732918ee2b7adfd889a728de5acf6cf98adb4f0e068e2095

Aliases

arxiv: 0910.1491 · arxiv_version: 0910.1491v2 · doi: 10.48550/arxiv.0910.1491 · pith_short_12: P6XADYNJ6YN6 · pith_short_16: P6XADYNJ6YN6G4ZJ · pith_short_8: P6XADYNJ

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/P6XADYNJ6YN6G4ZJDDXCW6W73C \
  | 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: 7fae01e1a9f61be3732918ee2b7adfd889a728de5acf6cf98adb4f0e068e2095

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b28fef989cf4a3641ea65ef7f1766ac737c181bcc0ccf83df6e35e27efcf96f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-10-08T12:46:41Z",
    "title_canon_sha256": "e764ad0d144353618b97f38183f65cf1d5f06564c53578fe5a5685b1182637f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1491",
    "kind": "arxiv",
    "version": 2
  }
}