Pith Number

pith:WS32WLFW

pith:2012:WS32WLFWVDEQK2ZOHEANVZW2FT

not attested not anchored not stored refs pending

Bounds for the regularity of local cohomology of bigraded modules

Ahad Rahimi, J\"urgen Herzog

arxiv:1210.6616 v1 · 2012-10-24 · 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{WS32WLFWVDEQK2ZOHEANVZW2FT}

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	2026-05-18T03:42:24.412909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4b7ab2cb6a8c9056b2e3900dae6da2ccc8cf5b4f3225fc7c216d4733c46e493

Aliases

arxiv: 1210.6616 · arxiv_version: 1210.6616v1 · doi: 10.48550/arxiv.1210.6616 · pith_short_12: WS32WLFWVDEQ · pith_short_16: WS32WLFWVDEQK2ZO · pith_short_8: WS32WLFW

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/WS32WLFWVDEQK2ZOHEANVZW2FT \
  | 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: b4b7ab2cb6a8c9056b2e3900dae6da2ccc8cf5b4f3225fc7c216d4733c46e493

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ad2a337bc99b6ca980672890beac23f1f0878f40f055d0d3add9d1efd0ec4df",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-10-24T17:47:20Z",
    "title_canon_sha256": "b4d0a24f71c5a722276e07ea416977a1dcdbc71f4cfbce966177afe416321189"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6616",
    "kind": "arxiv",
    "version": 1
  }
}