Pith Number

pith:HBA6E4VA

pith:2013:HBA6E4VAAFO5TQQLM77TWAPHT2

not attested not anchored not stored refs pending

HOMFLY polynomial from a generalized Yang-Yang function

Peng Liu, Sen Hu

arxiv:1312.1769 v2 · 2013-12-06 · math.QA · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HBA6E4VAAFO5TQQLM77TWAPHT2}

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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	2026-05-18T02:54:46.681162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3841e272a0015dd9c20b67ff3b01e79e88e039f995b891a9114e07d23ed97fdc

Aliases

arxiv: 1312.1769 · arxiv_version: 1312.1769v2 · doi: 10.48550/arxiv.1312.1769 · pith_short_12: HBA6E4VAAFO5 · pith_short_16: HBA6E4VAAFO5TQQL · pith_short_8: HBA6E4VA

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/HBA6E4VAAFO5TQQLM77TWAPHT2 \
  | 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: 3841e272a0015dd9c20b67ff3b01e79e88e039f995b891a9114e07d23ed97fdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5ff83c68fb0a798c88afd1db1e4f18db24c7d3506c539fad19c2a185267fe3d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-12-06T05:27:20Z",
    "title_canon_sha256": "23b41a0d3b7196e81dd8b2b50a948c96828d8a1779176dc2d152eba1191d591b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1769",
    "kind": "arxiv",
    "version": 2
  }
}