Pith Number

pith:HV2ZYSDJ

pith:2009:HV2ZYSDJQAEJFT2GSCI5QX7PXY

not attested not anchored not stored refs pending

Integral TQFT for a one-holed torus

Gregor Masbaum, Patrick M. Gilmer

arxiv:0908.2796 v3 · 2009-08-19 · 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{HV2ZYSDJQAEJFT2GSCI5QX7PXY}

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	2026-05-18T01:29:12.283854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d759c4869800892cf469091d85fefbe28a79d7c5555647392f71c3b0f3f7825

Aliases

arxiv: 0908.2796 · arxiv_version: 0908.2796v3 · doi: 10.48550/arxiv.0908.2796 · pith_short_12: HV2ZYSDJQAEJ · pith_short_16: HV2ZYSDJQAEJFT2G · pith_short_8: HV2ZYSDJ

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/HV2ZYSDJQAEJFT2GSCI5QX7PXY \
  | 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: 3d759c4869800892cf469091d85fefbe28a79d7c5555647392f71c3b0f3f7825

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b8b9ac30a0df4ffc0524169aab379c02d87c54d74e46f0b3eac9141bec4dfd7",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-08-19T18:12:58Z",
    "title_canon_sha256": "d4655314533a20d0e0288c914c705206c2fdc3b5829a0223e38b5be5f3d9ab62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2796",
    "kind": "arxiv",
    "version": 3
  }
}