Pith Number

pith:WBEMKDUU

pith:2009:WBEMKDUULWU3P55BRI5OXZAHZZ

not attested not anchored not stored refs pending

An Elementary Proof by the Heegaard Splittings of the 3-Dimentional Poincare Conjecture

Shunji Horiguchi

arxiv:0905.3788 v2 · 2009-05-23 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBEMKDUULWU3P55BRI5OXZAHZZ}

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	2026-05-18T03:38:05.228430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b048c50e945da9b7f7a18a3aebe407ce6f5a6113b21c9d55c2c347ccecb12824

Aliases

arxiv: 0905.3788 · arxiv_version: 0905.3788v2 · doi: 10.48550/arxiv.0905.3788 · pith_short_12: WBEMKDUULWU3 · pith_short_16: WBEMKDUULWU3P55B · pith_short_8: WBEMKDUU

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/WBEMKDUULWU3P55BRI5OXZAHZZ \
  | 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: b048c50e945da9b7f7a18a3aebe407ce6f5a6113b21c9d55c2c347ccecb12824

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cfec10dca7e3b278747c444e18ed3a1b6dfd2e6ff84a6b7caa7ef8d412c32a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2009-05-23T04:41:07Z",
    "title_canon_sha256": "e83813b69fd4195cc40676b6039d782eae1ed173f616494f96237060adb56413"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3788",
    "kind": "arxiv",
    "version": 2
  }
}