Pith Number

pith:G6YNIVX7

pith:2015:G6YNIVX7K4AR45ZNGCWOGMTWPZ

not attested not anchored not stored refs pending

Hodge Star as Braided Fourier Transform

Shahn Majid

arxiv:1511.00190 v2 · 2015-11-01 · 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{G6YNIVX7K4AR45ZNGCWOGMTWPZ}

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	2026-05-18T01:15:06.569219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37b0d456ff57011e772d30ace332767e43618b75301567118fd522fe6393598a

Aliases

arxiv: 1511.00190 · arxiv_version: 1511.00190v2 · doi: 10.48550/arxiv.1511.00190 · pith_short_12: G6YNIVX7K4AR · pith_short_16: G6YNIVX7K4AR45ZN · pith_short_8: G6YNIVX7

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/G6YNIVX7K4AR45ZNGCWOGMTWPZ \
  | 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: 37b0d456ff57011e772d30ace332767e43618b75301567118fd522fe6393598a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04cdbc85c3b6bc1255be17b84fdfbb1fdd88f61527c3d97e2d340cd564cf89f0",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-11-01T00:06:06Z",
    "title_canon_sha256": "28cdc826de108500957d505de52d3b25da301afb6ba16833afb5312169c24c56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00190",
    "kind": "arxiv",
    "version": 2
  }
}