Pith Number

pith:I6MEVQ4O

pith:2007:I6MEVQ4O3Q6FVUZPZ3RNWSVXHX

not attested not anchored not stored refs pending

Symbolic Rees algebras, vertex covers and irreducible representations of Rees cones

Luis A. Dupont, Rafael H. Villarreal

arxiv:0712.1249 v3 · 2007-12-08 · 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{I6MEVQ4O3Q6FVUZPZ3RNWSVXHX}

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	2026-05-18T04:27:25.807508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47984ac38edc3c5ad32fcee2db4ab73dd88349f092f41fb480a9d77622a7f003

Aliases

arxiv: 0712.1249 · arxiv_version: 0712.1249v3 · doi: 10.48550/arxiv.0712.1249 · pith_short_12: I6MEVQ4O3Q6F · pith_short_16: I6MEVQ4O3Q6FVUZP · pith_short_8: I6MEVQ4O

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/I6MEVQ4O3Q6FVUZPZ3RNWSVXHX \
  | 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: 47984ac38edc3c5ad32fcee2db4ab73dd88349f092f41fb480a9d77622a7f003

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "877f2c68bebc0c047259476e1e72fb9f9bf000927c8f5e490d83282f5a306bc4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2007-12-08T00:46:08Z",
    "title_canon_sha256": "d3d7339f40abfedb4cc9e23dff33e7065a28256b615208de190649c585924e89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1249",
    "kind": "arxiv",
    "version": 3
  }
}