Pith Number

pith:WK6WIBTV

pith:2013:WK6WIBTVO27AQ6O7FQ3XMNJIHX

not attested not anchored not stored refs pending

Bounding the Projective Dimension of a Square-Free Monomial Ideal via Domination in Clutters

Hailong Dao, Jay Schweig

arxiv:1301.2665 v3 · 2013-01-12 · 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{WK6WIBTVO27AQ6O7FQ3XMNJIHX}

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	2026-05-18T03:26:20.468883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2bd64067576be0879df2c377635283dc61a9ca94373fc846c0188109169ea91

Aliases

arxiv: 1301.2665 · arxiv_version: 1301.2665v3 · doi: 10.48550/arxiv.1301.2665 · pith_short_12: WK6WIBTVO27A · pith_short_16: WK6WIBTVO27AQ6O7 · pith_short_8: WK6WIBTV

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/WK6WIBTVO27AQ6O7FQ3XMNJIHX \
  | 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: b2bd64067576be0879df2c377635283dc61a9ca94373fc846c0188109169ea91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d2178deb7999750fe6d6a43c2fe914557012bfb05904fa927af32a21c128953",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-01-12T08:46:01Z",
    "title_canon_sha256": "e9b6aeb1642475e772b302b0c93de06e8a179d8790afd90fee9da5be60997fb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2665",
    "kind": "arxiv",
    "version": 3
  }
}