Pith Number

pith:PFXLD35U

pith:2008:PFXLD35UUQMANMWLPWV4ALBDZO

not attested not anchored not stored refs pending

Restricted limits of minimal affinizations

Adriano Moura

arxiv:0812.2238 v2 · 2008-12-11 · math.RT · 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{PFXLD35UUQMANMWLPWV4ALBDZO}

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	2026-05-18T04:05:28.155217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

796eb1efb4a41806b2cb7dabc02c23cb9a00d748d633beaf679b74682fac7ef1

Aliases

arxiv: 0812.2238 · arxiv_version: 0812.2238v2 · doi: 10.48550/arxiv.0812.2238 · pith_short_12: PFXLD35UUQMA · pith_short_16: PFXLD35UUQMANMWL · pith_short_8: PFXLD35U

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/PFXLD35UUQMANMWLPWV4ALBDZO \
  | 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: 796eb1efb4a41806b2cb7dabc02c23cb9a00d748d633beaf679b74682fac7ef1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a4ac1f55d88f691a769e8968fe6ff096e2ef5c404cbd7abca43131ad2751b1e",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2008-12-11T20:41:22Z",
    "title_canon_sha256": "a7fa37bb09c64e64b41b4c2df4560b945b4677809be0fa64167ceff3f8d54b2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2238",
    "kind": "arxiv",
    "version": 2
  }
}