Pith Number

pith:WXYV7KO5

pith:2010:WXYV7KO5QBQNHMPLPAJD5H2NET

not attested not anchored not stored refs pending

On braided zeta functions

Ivan Tomasic, Shahn Majid

arxiv:1007.5084 v3 · 2010-07-28 · math.QA · 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{WXYV7KO5QBQNHMPLPAJD5H2NET}

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	2026-05-18T04:25:37.809275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5f15fa9dd8060d3b1eb78123e9f4d24ee07a6b793d72450aa90d49988b2a8b5

Aliases

arxiv: 1007.5084 · arxiv_version: 1007.5084v3 · doi: 10.48550/arxiv.1007.5084 · pith_short_12: WXYV7KO5QBQN · pith_short_16: WXYV7KO5QBQNHMPL · pith_short_8: WXYV7KO5

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/WXYV7KO5QBQNHMPLPAJD5H2NET \
  | 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: b5f15fa9dd8060d3b1eb78123e9f4d24ee07a6b793d72450aa90d49988b2a8b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee6b570fea5bba211919ad01332ae89eadbff39dcee8f17ceeb31890c4ed27e8",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-07-28T23:33:53Z",
    "title_canon_sha256": "49c19976e2add9585ebaab7fbe4915de1fbbeba377b75c5aed55f94de1c99ce1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.5084",
    "kind": "arxiv",
    "version": 3
  }
}