Pith Number

pith:EXVM5KYZ

pith:2011:EXVM5KYZRSHVEZE6O3FYKM5IRO

not attested not anchored not stored refs pending

F-purity versus log canonicity for polynomials

Daniel J. Hern\'andez

arxiv:1112.2423 v1 · 2011-12-12 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EXVM5KYZRSHVEZE6O3FYKM5IRO}

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	2026-05-18T04:06:34.458361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25eaceab198c8f52649e76cb8533a88baa2f748bf7f8a59716867254c1adceee

Aliases

arxiv: 1112.2423 · arxiv_version: 1112.2423v1 · doi: 10.48550/arxiv.1112.2423 · pith_short_12: EXVM5KYZRSHV · pith_short_16: EXVM5KYZRSHVEZE6 · pith_short_8: EXVM5KYZ

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/EXVM5KYZRSHVEZE6O3FYKM5IRO \
  | 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: 25eaceab198c8f52649e76cb8533a88baa2f748bf7f8a59716867254c1adceee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8b10a7ecb1176d0456c7129e6b150f8f06df504587810fc072cddb5235dd058",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-12-12T02:27:57Z",
    "title_canon_sha256": "04ffad91665fa2d880f8c24e97d192de3a7faf52cda3b768f3d9896a72fb7337"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2423",
    "kind": "arxiv",
    "version": 1
  }
}