Pith Number

pith:H72CA7PE

pith:2007:H72CA7PELTQDOM33SIG6RJ6Z3X

not attested not anchored not stored refs pending

The foam and the matrix factorization sl3 link homologies are equivalent

Marco Mackaay, Pedro Vaz

arxiv:0710.0771 v3 · 2007-10-03 · 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{H72CA7PELTQDOM33SIG6RJ6Z3X}

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	2026-05-18T02:41:51.921368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ff4207de45ce037337b920de8a7d9ddd7685432e0037f6577e40edfafa9c3c6

Aliases

arxiv: 0710.0771 · arxiv_version: 0710.0771v3 · doi: 10.48550/arxiv.0710.0771 · pith_short_12: H72CA7PELTQD · pith_short_16: H72CA7PELTQDOM33 · pith_short_8: H72CA7PE

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/H72CA7PELTQDOM33SIG6RJ6Z3X \
  | 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: 3ff4207de45ce037337b920de8a7d9ddd7685432e0037f6577e40edfafa9c3c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "504db532a31da3d9e06b1d191ed2344fa435f80046f6f9628646719a17c7ada3",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2007-10-03T12:25:31Z",
    "title_canon_sha256": "b5cbfed25e4e7d00d2929214d4f922960ed749cffc9c39df086049e2541cbb74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0771",
    "kind": "arxiv",
    "version": 3
  }
}