Pith Number

pith:K6GPJUX2

pith:1998:K6GPJUX2AGB5NOYBSZRRRNBE6P

not attested not anchored not stored refs pending

Skein Modules and Lattice Gauge Field Theory

Charles Frohman, Doug Bullock, Joanna Kania-Bartoszynska

arxiv:math/9802023 v2 · 1998-02-04 · 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{K6GPJUX2AGB5NOYBSZRRRNBE6P}

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	2026-05-18T01:38:22.950560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

578cf4d2fa0183d6bb01966318b424f3c125b7766d57cb99a5718bdcafabc154

Aliases

arxiv: math/9802023 · arxiv_version: math/9802023v2 · doi: 10.48550/arxiv.math/9802023 · pith_short_12: K6GPJUX2AGB5 · pith_short_16: K6GPJUX2AGB5NOYB · pith_short_8: K6GPJUX2

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/K6GPJUX2AGB5NOYBSZRRRNBE6P \
  | 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: 578cf4d2fa0183d6bb01966318b424f3c125b7766d57cb99a5718bdcafabc154

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "241d391a2dd831089e245a24fba500781775433784609eb9df1e2669e35da393",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1998-02-04T22:34:36Z",
    "title_canon_sha256": "9e6a2e18bb29848260697bf8b190768c837c603538b492c257d25d569ff2b5b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9802023",
    "kind": "arxiv",
    "version": 2
  }
}