Pith Number

pith:FT2B76FP

pith:2009:FT2B76FPY5J6AAI65GZAILGQ6R

not attested not anchored not stored refs pending

Combinatorics of symbolic Rees algebras of edge ideals of clutters

Carlos Renteria, Jose Martinez-Bernal, Rafael H. Villarreal

arxiv:0905.0938 v2 · 2009-05-07 · math.AC · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FT2B76FPY5J6AAI65GZAILGQ6R}

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	2026-05-18T04:10:36.145354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cf41ff8afc753e0011ee9b2042cd0f4797b12d1329f9334af55ac8f49f54431

Aliases

arxiv: 0905.0938 · arxiv_version: 0905.0938v2 · doi: 10.48550/arxiv.0905.0938 · pith_short_12: FT2B76FPY5J6 · pith_short_16: FT2B76FPY5J6AAI6 · pith_short_8: FT2B76FP

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/FT2B76FPY5J6AAI65GZAILGQ6R \
  | 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: 2cf41ff8afc753e0011ee9b2042cd0f4797b12d1329f9334af55ac8f49f54431

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3da22b65480eee4dad5e6d28f444fad81d2eeb5fccfe61356110801393c866d4",
    "cross_cats_sorted": [
      "math.CO",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2009-05-07T01:36:37Z",
    "title_canon_sha256": "c183b5d4799a96a8f3789ff8de5c4a8f32e3fbc56e72e34af04c6d6c5c496225"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0938",
    "kind": "arxiv",
    "version": 2
  }
}