Pith Number

pith:I6PP5LJR

pith:2012:I6PP5LJRN533GMEKPDW4CSBAH2

not attested not anchored not stored refs pending

Monomial localizations and polymatroidal ideals

J\"urgen Herzog, Somayeh Bandari

arxiv:1206.3069 v1 · 2012-06-14 · 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{I6PP5LJRN533GMEKPDW4CSBAH2}

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	2026-05-18T03:53:32.814569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

479efead316f77b3308a78edc148203e972f92f4c7b7434201e1ddab9b0be552

Aliases

arxiv: 1206.3069 · arxiv_version: 1206.3069v1 · doi: 10.48550/arxiv.1206.3069 · pith_short_12: I6PP5LJRN533 · pith_short_16: I6PP5LJRN533GMEK · pith_short_8: I6PP5LJR

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/I6PP5LJRN533GMEKPDW4CSBAH2 \
  | 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: 479efead316f77b3308a78edc148203e972f92f4c7b7434201e1ddab9b0be552

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "825b2be9007f3bbc470745391ca2fb6bf848c1c8499c0cdfa77a91db2842584d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-06-14T10:43:59Z",
    "title_canon_sha256": "09070edca89e0c23182aeb22aaf1fa147507e0a39f57a08f6f821b03cf105209"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3069",
    "kind": "arxiv",
    "version": 1
  }
}