Pith Number

pith:C34OOLPX

pith:2012:C34OOLPXSRA2GTJEQ5PRGBEFNH

not attested not anchored not stored refs pending

Finite traces and representations of the group of infinite matrices over a finite field

Anatoly Vershik, Sergei Kerov, Vadim Gorin

arxiv:1209.4945 v3 · 2012-09-22 · math.RT · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C34OOLPXSRA2GTJEQ5PRGBEFNH}

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	2026-05-18T02:54:47.238888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16f8e72df79441a34d24875f13048569ec9bc64700fae12f876ef3d5abf62620

Aliases

arxiv: 1209.4945 · arxiv_version: 1209.4945v3 · doi: 10.48550/arxiv.1209.4945 · pith_short_12: C34OOLPXSRA2 · pith_short_16: C34OOLPXSRA2GTJE · pith_short_8: C34OOLPX

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/C34OOLPXSRA2GTJEQ5PRGBEFNH \
  | 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: 16f8e72df79441a34d24875f13048569ec9bc64700fae12f876ef3d5abf62620

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8364904e5d00e5c09504266024bad924f0591591171a068dc55f164086518f3",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-22T00:38:41Z",
    "title_canon_sha256": "bdbfdc2efc4187290e17316e1805fbf4ec8eaf3e9665504b50a425e88e075783"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4945",
    "kind": "arxiv",
    "version": 3
  }
}