Pith Number

pith:KUMRZLS3

pith:2012:KUMRZLS3YTBREWKDGJDSCZ4HBC

not attested not anchored not stored refs pending

Chain polytopes and algebras with straightening laws

Nan Li, Takayuki Hibi

arxiv:1207.2538 v2 · 2012-07-11 · 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{KUMRZLS3YTBREWKDGJDSCZ4HBC}

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	2026-05-18T03:41:56.117445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55191cae5bc4c3125943324721678708b3be2590d87b0d8cbfed2df676af6b68

Aliases

arxiv: 1207.2538 · arxiv_version: 1207.2538v2 · doi: 10.48550/arxiv.1207.2538 · pith_short_12: KUMRZLS3YTBR · pith_short_16: KUMRZLS3YTBREWKD · pith_short_8: KUMRZLS3

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/KUMRZLS3YTBREWKDGJDSCZ4HBC \
  | 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: 55191cae5bc4c3125943324721678708b3be2590d87b0d8cbfed2df676af6b68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0cc7ec11e14c1ae995e14a441a5beaa8f8fa88ed04935a48a9658b952ed5914",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-07-11T03:58:36Z",
    "title_canon_sha256": "bab596117299af184de2919a63bc087f3a85dc598c50dcc8ac0120f9a00cd9ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2538",
    "kind": "arxiv",
    "version": 2
  }
}