Pith Number

pith:TAFTIW4F

pith:2012:TAFTIW4FPY3VSZJBVNHNMHTJHH

not attested not anchored not stored refs pending

A finite dimensional algebra of the diagram of a knot

Claude Cibils

arxiv:1212.1213 v1 · 2012-12-06 · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TAFTIW4FPY3VSZJBVNHNMHTJHH}

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	2026-05-18T00:13:48.777377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

980b345b857e37596521ab4ed61e6939e0290146c42ca8611089afd2d7b71941

Aliases

arxiv: 1212.1213 · arxiv_version: 1212.1213v1 · doi: 10.48550/arxiv.1212.1213 · pith_short_12: TAFTIW4FPY3V · pith_short_16: TAFTIW4FPY3VSZJB · pith_short_8: TAFTIW4F

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/TAFTIW4FPY3VSZJBVNHNMHTJHH \
  | 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: 980b345b857e37596521ab4ed61e6939e0290146c42ca8611089afd2d7b71941

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "117b9ede16607864b37b37e83e388a2bd7101ce0d1886dadd63b44fc6232ae38",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-12-06T00:43:47Z",
    "title_canon_sha256": "86e19d67c76e16476d10e13b5e5fdb452d7fd3eef6e1e99ca21dfb2e39092a74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1213",
    "kind": "arxiv",
    "version": 1
  }
}