Pith Number

pith:ULRVHB3B

pith:2013:ULRVHB3BG7HBBCNNYZDZTAEMQL

not attested not anchored not stored refs pending

Handlebody-knot invariants derived from unimodular Hopf algebras

Akira Masuoka, Atsushi Ishii

arxiv:1307.5632 v1 · 2013-07-22 · 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{ULRVHB3BG7HBBCNNYZDZTAEMQL}

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	2026-05-18T03:17:55.201281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2e353876137ce1089adc64799808c82c76e42b82714452e3e373a11a6e14966

Aliases

arxiv: 1307.5632 · arxiv_version: 1307.5632v1 · doi: 10.48550/arxiv.1307.5632 · pith_short_12: ULRVHB3BG7HB · pith_short_16: ULRVHB3BG7HBBCNN · pith_short_8: ULRVHB3B

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/ULRVHB3BG7HBBCNNYZDZTAEMQL \
  | 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: a2e353876137ce1089adc64799808c82c76e42b82714452e3e373a11a6e14966

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "563bd63e47952ddf15eca1f81ddeb240f9e1b2d6c8859da8df819641987aa60a",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-07-22T09:38:48Z",
    "title_canon_sha256": "ec45af0bff8701c1f8402c18096842d294d60b94c6c9020e6eca2dd7bc343123"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5632",
    "kind": "arxiv",
    "version": 1
  }
}