Pith Number

pith:JEJ37SEI

pith:2012:JEJ37SEIRSWXBMAECJ53XS5NRC

not attested not anchored not stored refs pending

Comprehensive Involutive Systems

Amir Hashemi, Vladimir Gerdt

arxiv:1206.0181 v2 · 2012-06-01 · cs.SC · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JEJ37SEIRSWXBMAECJ53XS5NRC}

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	2026-05-18T03:53:31.275266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4913bfc8888cad70b004127bbbcbad88b62190856520af6959329413e4063014

Aliases

arxiv: 1206.0181 · arxiv_version: 1206.0181v2 · doi: 10.48550/arxiv.1206.0181 · pith_short_12: JEJ37SEIRSWX · pith_short_16: JEJ37SEIRSWXBMAE · pith_short_8: JEJ37SEI

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/JEJ37SEIRSWXBMAECJ53XS5NRC \
  | 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: 4913bfc8888cad70b004127bbbcbad88b62190856520af6959329413e4063014

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4120217954085d59f27f6268be9b63e41aafa8e50fd74a1d1961238f61984db7",
    "cross_cats_sorted": [
      "math.AC",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2012-06-01T13:45:27Z",
    "title_canon_sha256": "12f0f9a86988b0760cc02f75e02dff9de66116bdb2e1a7b8d036c5eaf2324bf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0181",
    "kind": "arxiv",
    "version": 2
  }
}