Pith Number

pith:7VADUXMD

pith:2002:7VADUXMD7TRLS3LP5FOEHTEQOK

not attested not anchored not stored refs pending

The planar algebra of a coaction

Teodor Banica

arxiv:math/0207035 v3 · 2002-07-03 · 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{7VADUXMD7TRLS3LP5FOEHTEQOK}

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	2026-05-18T01:05:29.472020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd403a5d83fce2b96d6fe95c43cc9072a9244154614f2555069fed5652e616ac

Aliases

arxiv: math/0207035 · arxiv_version: math/0207035v3 · doi: 10.48550/arxiv.math/0207035 · pith_short_12: 7VADUXMD7TRL · pith_short_16: 7VADUXMD7TRLS3LP · pith_short_8: 7VADUXMD

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/7VADUXMD7TRLS3LP5FOEHTEQOK \
  | 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: fd403a5d83fce2b96d6fe95c43cc9072a9244154614f2555069fed5652e616ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bc69df4a19bfbf8403a2317cfb3ca079de4f5c5cb916f2865c3a04481e250f0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2002-07-03T12:58:41Z",
    "title_canon_sha256": "42ec6cf38b89f22ad51369080348ef7fb8d9b1d5c3901256aba11b98f9724a79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0207035",
    "kind": "arxiv",
    "version": 3
  }
}