Pith Number

pith:XMFTNTZ4

pith:2000:XMFTNTZ4OZEYXQAW5KXYA6YAAA

not attested not anchored not stored refs pending

Homology surgery and invariants of 3-manifolds

Jerome Levine, Stavros Garoufalidis

arxiv:math/0005280 v2 · 2000-05-30 · 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{XMFTNTZ4OZEYXQAW5KXYA6YAAA}

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	2026-05-18T02:38:00.983461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb0b36cf3c76498bc016eaaf807b00000b05d53267b04a5efdb9f7f23511bd56

Aliases

arxiv: math/0005280 · arxiv_version: math/0005280v2 · doi: 10.48550/arxiv.math/0005280 · pith_short_12: XMFTNTZ4OZEY · pith_short_16: XMFTNTZ4OZEYXQAW · pith_short_8: XMFTNTZ4

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/XMFTNTZ4OZEYXQAW5KXYA6YAAA \
  | 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: bb0b36cf3c76498bc016eaaf807b00000b05d53267b04a5efdb9f7f23511bd56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3856ed3afc464eb78f212d7f1120e715709d87571969f73948a93f23fb95975",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2000-05-30T14:52:16Z",
    "title_canon_sha256": "f546945381b0fd43e15679d2c5eee884834c5cdb2519999afe37adc4297a469d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0005280",
    "kind": "arxiv",
    "version": 2
  }
}