Pith Number

pith:3ZTSBKMO

pith:2013:3ZTSBKMODR3JQXZJWY7M5CPQUS

not attested not anchored not stored refs pending

Castelnuovo-Mumford regularity and cohomological dimension

Maryam Jahangiri

arxiv:1304.2517 v1 · 2013-04-09 · 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{3ZTSBKMODR3JQXZJWY7M5CPQUS}

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	2026-05-18T03:28:31.714263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de6720a98e1c76985f29b63ece89f0a48d6cdb81931c92037a390fef50ac26a5

Aliases

arxiv: 1304.2517 · arxiv_version: 1304.2517v1 · doi: 10.48550/arxiv.1304.2517 · pith_short_12: 3ZTSBKMODR3J · pith_short_16: 3ZTSBKMODR3JQXZJ · pith_short_8: 3ZTSBKMO

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/3ZTSBKMODR3JQXZJWY7M5CPQUS \
  | 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: de6720a98e1c76985f29b63ece89f0a48d6cdb81931c92037a390fef50ac26a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "213f01163abab520f54539b7d1d298702c3b768641139bde0a28855365e59730",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-04-09T10:27:10Z",
    "title_canon_sha256": "a992bc711dcf8ccfaaec5a6c706964bf87aa3af8237931a0f225429f76852d50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2517",
    "kind": "arxiv",
    "version": 1
  }
}