Pith Number

pith:JKKYRW5W

pith:2013:JKKYRW5W3KN7IZNA3ULQ3VZ4LR

not attested not anchored not stored refs pending

Minimal Castelnuovo-Mumford regularity for a given Hilbert polynomial

Francesca Cioffi, Margherita Roggero, M. Grazia Marinari, Paolo Lella

arxiv:1307.2707 v2 · 2013-07-10 · 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{JKKYRW5W3KN7IZNA3ULQ3VZ4LR}

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	2026-05-18T02:20:29.093929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a9588dbb6da9bf465a0dd170dd73c5c7daeba8fe6ac1529a886f2a2e04ab7e3

Aliases

arxiv: 1307.2707 · arxiv_version: 1307.2707v2 · doi: 10.48550/arxiv.1307.2707 · pith_short_12: JKKYRW5W3KN7 · pith_short_16: JKKYRW5W3KN7IZNA · pith_short_8: JKKYRW5W

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/JKKYRW5W3KN7IZNA3ULQ3VZ4LR \
  | 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: 4a9588dbb6da9bf465a0dd170dd73c5c7daeba8fe6ac1529a886f2a2e04ab7e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e7923505b701b1f101e216f5c196c9583622b2b3ded01c3edf03fd6060905ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-10T07:53:27Z",
    "title_canon_sha256": "e7671c9821221d89430e3e1937eea2fa973ca266e52b40cf827001d7dfbf878d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2707",
    "kind": "arxiv",
    "version": 2
  }
}