Pith Number

pith:KBJP3WPK

pith:1995:KBJP3WPK3RKWEAPRHUTY5QXHOG

not attested not anchored not stored refs pending

The HOMFLY polynomial for links in rational homology 3-spheres

Efstratia Kalfagianni, Xiao-Song Lin

arxiv:q-alg/9509010 v1 · 1995-09-08 · q-alg · 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{KBJP3WPK3RKWEAPRHUTY5QXHOG}

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.

Cited by

1 paper in Pith

Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex

Receipt and verification

First computed	2026-07-04T15:09:06.482113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5052fdd9eadc556201f13d278ec2e7718c9a44c19fab0d4cbd50368ceff30cea

Aliases

arxiv: q-alg/9509010 · arxiv_version: q-alg/9509010v1 · doi: 10.48550/arxiv.q-alg/9509010 · pith_short_12: KBJP3WPK3RKW · pith_short_16: KBJP3WPK3RKWEAPR · pith_short_8: KBJP3WPK

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/KBJP3WPK3RKWEAPRHUTY5QXHOG \
  | 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: 5052fdd9eadc556201f13d278ec2e7718c9a44c19fab0d4cbd50368ceff30cea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "979e06446a67d6360816f909e12258f1cbad142e44968cf1c84112d23968a0b3",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "q-alg",
    "submitted_at": "1995-09-08T19:12:58Z",
    "title_canon_sha256": "562f31968505b465b092528c7aaf84fa08b16e15222edda3e6da2c26eb1c1e92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-alg/9509010",
    "kind": "arxiv",
    "version": 1
  }
}