Pith Number

pith:T2STHISK

pith:2001:T2STHISKKPTPUEVM4LDUDVLGPR

not attested not anchored not stored refs pending

Twisted quandle homology theory and cocycle knot invariants

J. Scott Carter, Masahico Saito, Mohamed Elhamdadi

arxiv:math/0108051 v2 · 2001-08-07 · 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{T2STHISKKPTPUEVM4LDUDVLGPR}

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	2026-05-18T02:41:33.252274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ea533a24a53e6fa12ace2c741d5667c478d785407580a8940a0c54ffff6bb2d

Aliases

arxiv: math/0108051 · arxiv_version: math/0108051v2 · doi: 10.48550/arxiv.math/0108051 · pith_short_12: T2STHISKKPTP · pith_short_16: T2STHISKKPTPUEVM · pith_short_8: T2STHISK

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/T2STHISKKPTPUEVM4LDUDVLGPR \
  | 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: 9ea533a24a53e6fa12ace2c741d5667c478d785407580a8940a0c54ffff6bb2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0b92339c7f067c3318b37cf3b3b29223a38dab9e36369bf32b00f7687889110",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2001-08-07T19:57:17Z",
    "title_canon_sha256": "a9a2cf4ea27ac680c389f06e0f74459825c119dedbe9d4fd013054d0eb06e2bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0108051",
    "kind": "arxiv",
    "version": 2
  }
}