Pith Number

pith:KJRZ4DEH

pith:2013:KJRZ4DEHPGV4MZBLHP6XH3FB3S

not attested not anchored not stored refs pending

Semistar operations and standard closure operations

Neil Epstein

arxiv:1304.8067 v2 · 2013-04-30 · 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{KJRZ4DEHPGV4MZBLHP6XH3FB3S}

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	2026-05-18T01:24:38.796950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52639e0c8779abc6642b3bfd73eca1dcaaf3030c95e21bd4d3a65599c519bd12

Aliases

arxiv: 1304.8067 · arxiv_version: 1304.8067v2 · doi: 10.48550/arxiv.1304.8067 · pith_short_12: KJRZ4DEHPGV4 · pith_short_16: KJRZ4DEHPGV4MZBL · pith_short_8: KJRZ4DEH

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/KJRZ4DEHPGV4MZBLHP6XH3FB3S \
  | 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: 52639e0c8779abc6642b3bfd73eca1dcaaf3030c95e21bd4d3a65599c519bd12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "833aa32a3d05417b41f711499bc5c7626f0d3f1352ed783a477bef93efc902be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-04-30T16:57:12Z",
    "title_canon_sha256": "987414cc0a9f77c6941cd22116047a76c68fd65c8a84b6e371a895a0f0b7ecb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.8067",
    "kind": "arxiv",
    "version": 2
  }
}