Pith Number

pith:AY4AQBYP

pith:2005:AY4AQBYPGV64KJF5HOJWSLXSMA

not attested not anchored not stored refs pending

Geometric representation theory for unitary groups of operator algebras

Daniel Belti\c{t}\u{a}, Tudor S. Ratiu

arxiv:math/0501057 v1 · 2005-01-05 · math.RT · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AY4AQBYPGV64KJF5HOJWSLXSMA}

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	2026-05-18T01:08:51.450336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

063808070f357dc524bd3b93692ef26013e36f5881dfb5632df41b4e82989f79

Aliases

arxiv: math/0501057 · arxiv_version: math/0501057v1 · doi: 10.48550/arxiv.math/0501057 · pith_short_12: AY4AQBYPGV64 · pith_short_16: AY4AQBYPGV64KJF5 · pith_short_8: AY4AQBYP

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/AY4AQBYPGV64KJF5HOJWSLXSMA \
  | 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: 063808070f357dc524bd3b93692ef26013e36f5881dfb5632df41b4e82989f79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0e2cca09742683fa2e0f2202129058313d4869af6011bfef2be36fbed888a9e",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2005-01-05T07:14:34Z",
    "title_canon_sha256": "f740348572b0fc91062523639577e2b7ba5cbf236d112a654445773adae7f18c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501057",
    "kind": "arxiv",
    "version": 1
  }
}