Pith Number

pith:HTAAQ7ME

pith:2000:HTAAQ7MELQ2GMLBY457KPDXBK4

not attested not anchored not stored refs pending

On The Homflypt Skein Module of S^1 x S^2

Jianyuan Zhong, Patrick M. Gilmer

arxiv:math/0007125 v1 · 2000-07-20 · 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{HTAAQ7MELQ2GMLBY457KPDXBK4}

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	2026-05-18T01:23:59.548872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cc0087d845c34662c38e77ea78ee1570f6ee3d00f55b05de59f4ecb968e935e

Aliases

arxiv: math/0007125 · arxiv_version: math/0007125v1 · doi: 10.48550/arxiv.math/0007125 · pith_short_12: HTAAQ7MELQ2G · pith_short_16: HTAAQ7MELQ2GMLBY · pith_short_8: HTAAQ7ME

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/HTAAQ7MELQ2GMLBY457KPDXBK4 \
  | 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: 3cc0087d845c34662c38e77ea78ee1570f6ee3d00f55b05de59f4ecb968e935e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3419bb4c33d258de7775b30bdf41cba9b1a4c1e432ae34f98e094e9b244b53e7",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2000-07-20T22:48:49Z",
    "title_canon_sha256": "d333e0f0cbc0b7c5cccce3d3b6599a40aa7c4d7aa4aaadc13a6a43e26d419b72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0007125",
    "kind": "arxiv",
    "version": 1
  }
}