Pith Number

pith:O3RCLULP

pith:2019:O3RCLULPJ2YR5T5EQMM5SRKM44

not attested not anchored not stored refs pending

Generators for the $C^m$-closures of Ideals

Charles Fefferman, Garving K. Luli

arxiv:1902.03692 v1 · 2019-02-11 · math.CA · math.AC · math.AG · 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{O3RCLULPJ2YR5T5EQMM5SRKM44}

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	2026-05-17T23:54:19.870619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76e225d16f4eb11ecfa48319d9454ce73ca9aa573328f56b8fae3bb5550d8a8c

Aliases

arxiv: 1902.03692 · arxiv_version: 1902.03692v1 · doi: 10.48550/arxiv.1902.03692 · pith_short_12: O3RCLULPJ2YR · pith_short_16: O3RCLULPJ2YR5T5E · pith_short_8: O3RCLULP

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/O3RCLULPJ2YR5T5EQMM5SRKM44 \
  | 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: 76e225d16f4eb11ecfa48319d9454ce73ca9aa573328f56b8fae3bb5550d8a8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa090f35b8723fd678aa87c8f9c8e6ab874d657e3a552499b4a58e4de168046c",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-02-11T01:04:25Z",
    "title_canon_sha256": "ae6281d9f3e0709ae51f181f3eac0fd59cf718057d5bef5deeaf1f4593775dfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.03692",
    "kind": "arxiv",
    "version": 1
  }
}