Pith Number

pith:NAWJEZX7

pith:2011:NAWJEZX7M3V3I57EIC2WBSWHGW

not attested not anchored not stored refs pending

Castelnuovo Mumford Regularity with respect to multigraded ideals

Marc Chardin, Nicol\'as Botbol

arxiv:1107.2494 v2 · 2011-07-13 · 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{NAWJEZX7M3V3I57EIC2WBSWHGW}

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	2026-05-18T03:58:36.870747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

682c9266ff66ebb477e440b560cac735aefd517e9b0123184ad880a063b06018

Aliases

arxiv: 1107.2494 · arxiv_version: 1107.2494v2 · doi: 10.48550/arxiv.1107.2494 · pith_short_12: NAWJEZX7M3V3 · pith_short_16: NAWJEZX7M3V3I57E · pith_short_8: NAWJEZX7

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/NAWJEZX7M3V3I57EIC2WBSWHGW \
  | 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: 682c9266ff66ebb477e440b560cac735aefd517e9b0123184ad880a063b06018

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cb88a41d23a2625d36b63457918699284cfe4d69e27d95e39e6457159e98615",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-07-13T09:12:23Z",
    "title_canon_sha256": "972cd19ca63d0024bd7e4a04efdf7a023bb88166de23ef9d11ee35a40c99a99a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2494",
    "kind": "arxiv",
    "version": 2
  }
}