Pith Number

pith:BDQBC75W

pith:2000:BDQBC75W5EXU5AW4YE7ACZ66KB

not attested not anchored not stored refs pending

The Homflypt skein module of a connected sum of 3-manifolds

Jianyuan K. Zhong, Patrick M. Gilmer

arxiv:math/0012056 v2 · 2000-12-08 · 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{BDQBC75W5EXU5AW4YE7ACZ66KB}

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	2026-05-18T02:41:33.366202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08e0117fb6e92f4e82dcc13e0167de507f68a21369484b78bc12388ade904910

Aliases

arxiv: math/0012056 · arxiv_version: math/0012056v2 · doi: 10.48550/arxiv.math/0012056 · pith_short_12: BDQBC75W5EXU · pith_short_16: BDQBC75W5EXU5AW4 · pith_short_8: BDQBC75W

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/BDQBC75W5EXU5AW4YE7ACZ66KB \
  | 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: 08e0117fb6e92f4e82dcc13e0167de507f68a21369484b78bc12388ade904910

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f5e8c81f342f7db788242b6a91e765851fe347fffb28cb9ad6e86f1d82cf5a3",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2000-12-08T21:45:45Z",
    "title_canon_sha256": "e56cd479f0e74c0cdc831cbc3d1e4755806ebcac7ae668b8b791adeb999a098a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0012056",
    "kind": "arxiv",
    "version": 2
  }
}