Pith Number

pith:SP55NH4Q

pith:2011:SP55NH4QMMD5KIZDHYVMTFQS2J

not attested not anchored not stored refs pending

Many non-equivalent realizations of the associahedron

Cesar Ceballos, Francisco Santos, G\"unter M. Ziegler

arxiv:1109.5544 v2 · 2011-09-26 · math.MG · 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{SP55NH4QMMD5KIZDHYVMTFQS2J}

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	2026-05-18T01:21:16.540719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93fbd69f906307d523233e2ac99612d26af43164b35795112619d9b728bb3212

Aliases

arxiv: 1109.5544 · arxiv_version: 1109.5544v2 · doi: 10.48550/arxiv.1109.5544 · pith_short_12: SP55NH4QMMD5 · pith_short_16: SP55NH4QMMD5KIZD · pith_short_8: SP55NH4Q

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/SP55NH4QMMD5KIZDHYVMTFQS2J \
  | 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: 93fbd69f906307d523233e2ac99612d26af43164b35795112619d9b728bb3212

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebefdc92ad4be45398ff148383cb454710f263bf55afc4ca79eed2a70e5d24c4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-09-26T12:47:04Z",
    "title_canon_sha256": "481ef3e513846dff492a36f9d4bc84fc825af5d6edc9389becda1ac708baa99d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5544",
    "kind": "arxiv",
    "version": 2
  }
}