Pith Number

pith:GXQFG2V2

pith:2011:GXQFG2V2USRTZKPCWEOS23EBOY

not attested not anchored not stored refs pending

Associated primes of powers of edge ideals

Jose Martinez-Bernal, Rafael H. Villarreal, Susan Morey

arxiv:1103.0992 v3 · 2011-03-04 · math.AC · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXQFG2V2USRTZKPCWEOS23EBOY}

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	2026-05-18T03:48:34.330770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35e0536abaa4a33ca9e2b11d2d6c81760d7239e7b33b53f071e026f8f5301390

Aliases

arxiv: 1103.0992 · arxiv_version: 1103.0992v3 · doi: 10.48550/arxiv.1103.0992 · pith_short_12: GXQFG2V2USRT · pith_short_16: GXQFG2V2USRTZKPC · pith_short_8: GXQFG2V2

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/GXQFG2V2USRTZKPCWEOS23EBOY \
  | 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: 35e0536abaa4a33ca9e2b11d2d6c81760d7239e7b33b53f071e026f8f5301390

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f2fb59fa5c735d79b60fdeb563e67102a5d8ce51020295400cc835d41b4ca8b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-03-04T23:11:50Z",
    "title_canon_sha256": "ddd8cf9c12d9fc267cca91401f17779c086d5531a8ac08478cfba89e9c3cf073"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0992",
    "kind": "arxiv",
    "version": 3
  }
}