Pith Number

pith:2YF3AZIL

pith:2011:2YF3AZILRXPANIOSH5HON42GGB

not attested not anchored not stored refs pending

Mapping class groups of once-stabilized Heegaard splittings

Jesse Johnson

arxiv:1108.5302 v3 · 2011-08-26 · 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{2YF3AZILRXPANIOSH5HON42GGB}

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	2026-05-18T03:27:10.391560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d60bb0650b8dde06a1d23f4ee6f34630462e9debe82b00fa66e0d5b6c85df9bc

Aliases

arxiv: 1108.5302 · arxiv_version: 1108.5302v3 · doi: 10.48550/arxiv.1108.5302 · pith_short_12: 2YF3AZILRXPA · pith_short_16: 2YF3AZILRXPANIOS · pith_short_8: 2YF3AZIL

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/2YF3AZILRXPANIOSH5HON42GGB \
  | 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: d60bb0650b8dde06a1d23f4ee6f34630462e9debe82b00fa66e0d5b6c85df9bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77eb0626739b737bd583a12dcffd740b72e45ebd7a2f795684766d6c7dc0341e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-08-26T13:55:41Z",
    "title_canon_sha256": "60e4fd33323811fb34cfdb4061c2615af1f7a83449b83b2f6b716be71e14c726"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5302",
    "kind": "arxiv",
    "version": 3
  }
}