Pith Number

pith:CUUSI5NJ

pith:2013:CUUSI5NJ55DJIDJJAIVPP7POGS

not attested not anchored not stored refs pending

Rings of Frobenius operators

Anurag K. Singh, Karl Schwede, Mordechai Katzman, Wenliang Zhang

arxiv:1304.6147 v1 · 2013-04-23 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CUUSI5NJ55DJIDJJAIVPP7POGS}

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	2026-05-17T23:53:17.608068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15292475a9ef46940d29022af7fdee34a754efc07235ed246990180e07310fd6

Aliases

arxiv: 1304.6147 · arxiv_version: 1304.6147v1 · doi: 10.48550/arxiv.1304.6147 · pith_short_12: CUUSI5NJ55DJ · pith_short_16: CUUSI5NJ55DJIDJJ · pith_short_8: CUUSI5NJ

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/CUUSI5NJ55DJIDJJAIVPP7POGS \
  | 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: 15292475a9ef46940d29022af7fdee34a754efc07235ed246990180e07310fd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3923ea333ada3de61d34a4b5f40189dbef2ce19ada148ab1b3ab75132a6a7b44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-04-23T01:43:08Z",
    "title_canon_sha256": "d2e6db4929afc80878b7adcb622307e5f716aed32fd4038f18b4b9c4ebe822df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6147",
    "kind": "arxiv",
    "version": 1
  }
}