Pith Number

pith:3CWFC3LQ

pith:2011:3CWFC3LQ4ZORDXJZTTBC3LEC5P

not attested not anchored not stored refs pending

Castelnuovo-Mumford regularity of associated graded modules and fiber cones of filtered modules

Le Tuan Hoa, Le Xuan Dung

arxiv:1103.3455 v1 · 2011-03-17 · 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{3CWFC3LQ4ZORDXJZTTBC3LEC5P}

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	2026-05-18T04:26:33.677241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8ac516d70e65d11dd399cc22dac82ebf505cd00ea72e9e279c8df2e6c0e6122

Aliases

arxiv: 1103.3455 · arxiv_version: 1103.3455v1 · doi: 10.48550/arxiv.1103.3455 · pith_short_12: 3CWFC3LQ4ZOR · pith_short_16: 3CWFC3LQ4ZORDXJZ · pith_short_8: 3CWFC3LQ

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/3CWFC3LQ4ZORDXJZTTBC3LEC5P \
  | 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: d8ac516d70e65d11dd399cc22dac82ebf505cd00ea72e9e279c8df2e6c0e6122

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e5331a5545f2cd2182250fe04533a4e70e1acc1f51da445e92014ad672f5426",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-03-17T16:43:04Z",
    "title_canon_sha256": "4930f8553fddd6dc0a38ce4050352267b83bc41bd056ab502575d5463cc22346"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3455",
    "kind": "arxiv",
    "version": 1
  }
}