Pith Number

pith:I5OYFTD6

pith:2012:I5OYFTD6QDX7K5PXNKQWIQSITS

not attested not anchored not stored refs pending

Upper bounds, cofiniteness, and artinianness of local cohomology modules defined by a pair of ideals

KH. Ahmadi-amoli, M. Aghapournahr, M. Y. Sadeghi

arxiv:1211.4204 v1 · 2012-11-18 · 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{I5OYFTD6QDX7K5PXNKQWIQSITS}

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	2026-05-18T03:40:27.655763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

475d82cc7e80eff575f76aa16442489c999e11062849561bab2ba1f0bb128ea9

Aliases

arxiv: 1211.4204 · arxiv_version: 1211.4204v1 · doi: 10.48550/arxiv.1211.4204 · pith_short_12: I5OYFTD6QDX7 · pith_short_16: I5OYFTD6QDX7K5PX · pith_short_8: I5OYFTD6

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/I5OYFTD6QDX7K5PXNKQWIQSITS \
  | 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: 475d82cc7e80eff575f76aa16442489c999e11062849561bab2ba1f0bb128ea9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22da3499fa88d6d69794f3d44fd9f219ada8b63a3651270efbad76c043379490",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-11-18T09:06:13Z",
    "title_canon_sha256": "34f10b05999a80b9da6a186cbbe6e586d90bdf047f68bd43434d1dce68e80832"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4204",
    "kind": "arxiv",
    "version": 1
  }
}