Pith Number

pith:AAQO3HOW

pith:2013:AAQO3HOW4MVESEJHVDBOOMUQ7N

not attested not anchored not stored refs pending

BGG reciprocity for current algebras

Bogdan Ion, Vyjayanthi Chari

arxiv:1307.1440 v2 · 2013-07-04 · math.RT · math.CO · 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{AAQO3HOW4MVESEJHVDBOOMUQ7N}

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	2026-05-18T01:36:15.804529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0020ed9dd6e32a491127a8c2e73290fb5791df646b554f8ebbd0d972cd790696

Aliases

arxiv: 1307.1440 · arxiv_version: 1307.1440v2 · doi: 10.48550/arxiv.1307.1440 · pith_short_12: AAQO3HOW4MVE · pith_short_16: AAQO3HOW4MVESEJH · pith_short_8: AAQO3HOW

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/AAQO3HOW4MVESEJHVDBOOMUQ7N \
  | 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: 0020ed9dd6e32a491127a8c2e73290fb5791df646b554f8ebbd0d972cd790696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af5a16d4c94adcad124e365c5335f9d4ba56a71ba2f62bfe8e5064ec5f5a0a38",
    "cross_cats_sorted": [
      "math.CO",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-07-04T18:13:38Z",
    "title_canon_sha256": "97a3b63bbd1609cf9a81a3b0dba03bf03d306bdd79c448e2665e996bc03c3d62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1440",
    "kind": "arxiv",
    "version": 2
  }
}