Pith Number

pith:CONGRTOY

pith:2012:CONGRTOYH7KISZMQJ2UZTZYPAC

not attested not anchored not stored refs pending

The class of n-entire operators

Julio H. Toloza, Luis O. Silva

arxiv:1208.2218 v3 · 2012-08-10 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CONGRTOYH7KISZMQJ2UZTZYPAC}

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	2026-05-18T01:55:16.787611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

139a68cdd83fd48965904ea999e70f009b4d1d7f502526d9902b2c09b71e0438

Aliases

arxiv: 1208.2218 · arxiv_version: 1208.2218v3 · doi: 10.48550/arxiv.1208.2218 · pith_short_12: CONGRTOYH7KI · pith_short_16: CONGRTOYH7KISZMQ · pith_short_8: CONGRTOY

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/CONGRTOYH7KISZMQJ2UZTZYPAC \
  | 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: 139a68cdd83fd48965904ea999e70f009b4d1d7f502526d9902b2c09b71e0438

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad6139e635961e5626beb7491e65af839ce8900f71977600c455e6b51be2ef62",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-10T17:04:33Z",
    "title_canon_sha256": "005309291a4b94aac68062fd86f2246e0da74bd42b2656e92a15f86808aced4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2218",
    "kind": "arxiv",
    "version": 3
  }
}