Pith Number

pith:OJ4THLRF

pith:2013:OJ4THLRF56QQTFHHVKTBENXOFS

not attested not anchored not stored refs pending

An algorithm for producing F-pure ideals

Alberto F. Boix, Mordechai Katzman

arxiv:1307.6717 v3 · 2013-07-25 · 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{OJ4THLRF56QQTFHHVKTBENXOFS}

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	2026-05-18T00:15:47.730281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

727933ae25efa10994e7aaa61236ee2c9bff4f4595e2ed732a66d94a72ec73d7

Aliases

arxiv: 1307.6717 · arxiv_version: 1307.6717v3 · doi: 10.48550/arxiv.1307.6717 · pith_short_12: OJ4THLRF56QQ · pith_short_16: OJ4THLRF56QQTFHH · pith_short_8: OJ4THLRF

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/OJ4THLRF56QQTFHHVKTBENXOFS \
  | 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: 727933ae25efa10994e7aaa61236ee2c9bff4f4595e2ed732a66d94a72ec73d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "758fd57b71a0b6ac1bb9c5201181cdd1a0363af6a6333181de97166b5fa625e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-07-25T12:30:41Z",
    "title_canon_sha256": "39424b58eba1eebbb69275698a1dd01f4897a2db73e5a62e378b4654bf002995"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6717",
    "kind": "arxiv",
    "version": 3
  }
}