Pith Number

pith:6LGP2VTT

pith:2012:6LGP2VTTHDSEQIUEKRA3IBNQT5

not attested not anchored not stored refs pending

Integer decomposition property of dilated polytopes

Akihiro Higashitani, Christian Haase, David A. Cox, Takayuki Hibi

arxiv:1211.5755 v2 · 2012-11-25 · math.CO · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6LGP2VTTHDSEQIUEKRA3IBNQT5}

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	2026-05-18T03:20:48.374539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2ccfd567338e44822845441b405b09f67aee72f093f18cd49cffc84cad26c79

Aliases

arxiv: 1211.5755 · arxiv_version: 1211.5755v2 · doi: 10.48550/arxiv.1211.5755 · pith_short_12: 6LGP2VTTHDSE · pith_short_16: 6LGP2VTTHDSEQIUE · pith_short_8: 6LGP2VTT

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/6LGP2VTTHDSEQIUEKRA3IBNQT5 \
  | 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: f2ccfd567338e44822845441b405b09f67aee72f093f18cd49cffc84cad26c79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fb6e5e937a7e5ca10d783179cec752e011fc70e13810f9342816e350688f6d0",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-25T10:48:50Z",
    "title_canon_sha256": "950aeba573d47994131da15e64738e752b85dfea0b5ad5309b1ecd7e18ce83ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5755",
    "kind": "arxiv",
    "version": 2
  }
}