Pith Number

pith:CY4FYAMT

pith:2012:CY4FYAMTWE2AH63QDLWRWICO6C

not attested not anchored not stored refs pending

On Total Frobenius-Schur Indicators

Gongxiang Liu, Siu-Hung Ng

arxiv:1212.1435 v1 · 2012-12-06 · math.QA · math.CT · 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{CY4FYAMTWE2AH63QDLWRWICO6C}

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	2026-05-18T01:27:37.227486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16385c0193b13403fb701aed1b204ef08299beaba9100947feb89c981724877f

Aliases

arxiv: 1212.1435 · arxiv_version: 1212.1435v1 · doi: 10.48550/arxiv.1212.1435 · pith_short_12: CY4FYAMTWE2A · pith_short_16: CY4FYAMTWE2AH63Q · pith_short_8: CY4FYAMT

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/CY4FYAMTWE2AH63QDLWRWICO6C \
  | 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: 16385c0193b13403fb701aed1b204ef08299beaba9100947feb89c981724877f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f497f434e7a8b48f36e61690dd0bd77407256888e8aefc8d76eefe977f60dd8",
    "cross_cats_sorted": [
      "math.CT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-12-06T20:12:46Z",
    "title_canon_sha256": "68bde384c849a4c659f4637d271f696691328be64b0fe6c54ba8e19c02bfa7a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1435",
    "kind": "arxiv",
    "version": 1
  }
}