Pith Number

pith:V5B5YYEM

pith:2007:V5B5YYEMCFOGDEN635SUVNC5JW

not attested not anchored not stored refs pending

Invariants of Closed 3-Manifolds via Nullhomotopic Filling Dehn Spheres

Gennaro Amendola

arxiv:0707.3226 v3 · 2007-07-21 · 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{V5B5YYEMCFOGDEN635SUVNC5JW}

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	2026-05-17T23:55:23.587866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af43dc608c115c6191bedf654ab45d4db2ee426198ce58cf79d7bb64a6a408c0

Aliases

arxiv: 0707.3226 · arxiv_version: 0707.3226v3 · doi: 10.48550/arxiv.0707.3226 · pith_short_12: V5B5YYEMCFOG · pith_short_16: V5B5YYEMCFOGDEN6 · pith_short_8: V5B5YYEM

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/V5B5YYEMCFOGDEN635SUVNC5JW \
  | 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: af43dc608c115c6191bedf654ab45d4db2ee426198ce58cf79d7bb64a6a408c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c937911c2ac77040f6bf11c86ca08e163ba72f442c7921dc07b58faf466a0b98",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2007-07-21T20:20:11Z",
    "title_canon_sha256": "450ca99d2c67155c8680227395cd65ce068689ea84ea7e3ea99c59066a744472"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.3226",
    "kind": "arxiv",
    "version": 3
  }
}