Pith Number

pith:QYULXRGQ

pith:2007:QYULXRGQNO5RUMWD236K7MUWDR

not attested not anchored not stored refs pending

Braided doubles

Arkady Berenstein, Yuri Bazlov

arxiv:0706.0243 v3 · 2007-06-02 · 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{QYULXRGQNO5RUMWD236K7MUWDR}

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	2026-05-18T04:07:52.896673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8628bbc4d06bbb1a32c3d6fcafb2961c6418e1b639eed3ce9b2e7aa458a8286e

Aliases

arxiv: 0706.0243 · arxiv_version: 0706.0243v3 · doi: 10.48550/arxiv.0706.0243 · pith_short_12: QYULXRGQNO5R · pith_short_16: QYULXRGQNO5RUMWD · pith_short_8: QYULXRGQ

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/QYULXRGQNO5RUMWD236K7MUWDR \
  | 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: 8628bbc4d06bbb1a32c3d6fcafb2961c6418e1b639eed3ce9b2e7aa458a8286e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19357b40a8f33e30fa6b28706bcd045f07d64b00dca369de45000468df47ed62",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2007-06-02T00:49:32Z",
    "title_canon_sha256": "2153434b2b4dcc4f1347f3730392e91f5ac10f17ad1c2ba8f3e2c8c06958ff44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0243",
    "kind": "arxiv",
    "version": 3
  }
}