Pith Number

pith:5KW73GJS

pith:2000:5KW73GJSVJCDC6QPPTUIYX3ZQR

not attested not anchored not stored refs pending

Polynomial invariants for torus knots and topological strings

J.M.F. Labastida, M. Marino

arxiv:hep-th/0004196 v3 · 2000-04-27 · hep-th · 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{5KW73GJSVJCDC6QPPTUIYX3ZQR}

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

$q$-Series Invariants of Three-Manifolds and Knots-Quivers Correspondence

Receipt and verification

First computed	2026-07-04T16:20:45.171551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaadfd9932aa44317a0f7ce88c5f79844ab898b32d4f56737b647ebebcd84bc5

Aliases

arxiv: hep-th/0004196 · arxiv_version: hep-th/0004196v3 · doi: 10.48550/arxiv.hep-th/0004196 · pith_short_12: 5KW73GJSVJCD · pith_short_16: 5KW73GJSVJCDC6QP · pith_short_8: 5KW73GJS

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/5KW73GJSVJCDC6QPPTUIYX3ZQR \
  | 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: eaadfd9932aa44317a0f7ce88c5f79844ab898b32d4f56737b647ebebcd84bc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52a0c7f70982ec48117a56d22e175cfe0a34c44efa055b29f3530f5a5e1b882d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-04-27T17:07:38Z",
    "title_canon_sha256": "668f7c63ea7a3ed8f68c629ff7cddcbb330a48ae71d2d1c0dba485e34ea71875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0004196",
    "kind": "arxiv",
    "version": 3
  }
}