Pith Number

pith:OM3ZHZDR

pith:2007:OM3ZHZDRBG35DOYB75JGZOFIZW

not attested not anchored not stored refs pending

Parameter test ideals of Cohen Macaulay rings

Mordechai Katzman

arxiv:math/0701591 v3 · 2007-01-21 · 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{OM3ZHZDRBG35DOYB75JGZOFIZW}

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	2026-05-18T03:02:21.793675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

733793e47109b7d1bb01ff526cb8a8cd96a0a57f148fb1470014df174eb81c5b

Aliases

arxiv: math/0701591 · arxiv_version: math/0701591v3 · doi: 10.48550/arxiv.math/0701591 · pith_short_12: OM3ZHZDRBG35 · pith_short_16: OM3ZHZDRBG35DOYB · pith_short_8: OM3ZHZDR

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/OM3ZHZDRBG35DOYB75JGZOFIZW \
  | 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: 733793e47109b7d1bb01ff526cb8a8cd96a0a57f148fb1470014df174eb81c5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b45f607298865a08224f5ed1a2f9a1edb48ae10871d26bf575acfa3d3714056e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2007-01-21T20:19:58Z",
    "title_canon_sha256": "d5c431ac228325cfed46504d25288b5458af1a8c14eda2433b997a33dd76390f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701591",
    "kind": "arxiv",
    "version": 3
  }
}