Pith Number

pith:IP7R6DGG

pith:2009:IP7R6DGG3KUZCNN4FBMT7UIC2K

not attested not anchored not stored refs pending

The centers of gravity of the associahedron and of the permutahedron are the same

Annie Raymond, Christophe Hohlweg, Jonathan Lortie

arxiv:0910.0265 v1 · 2009-10-02 · 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{IP7R6DGG3KUZCNN4FBMT7UIC2K}

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	2026-05-18T04:06:21.210805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43ff1f0cc6daa99135bc28593fd102d2b3815857e238675bedd3fffba0d6f0d7

Aliases

arxiv: 0910.0265 · arxiv_version: 0910.0265v1 · doi: 10.48550/arxiv.0910.0265 · pith_short_12: IP7R6DGG3KUZ · pith_short_16: IP7R6DGG3KUZCNN4 · pith_short_8: IP7R6DGG

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/IP7R6DGG3KUZCNN4FBMT7UIC2K \
  | 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: 43ff1f0cc6daa99135bc28593fd102d2b3815857e238675bedd3fffba0d6f0d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc19048b082a5da1a95c0a44bea02842aa056fd563ebb500dd8410437b19802c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-10-02T04:42:51Z",
    "title_canon_sha256": "b1962c96ebcb371cc534bd73ed6ea75a87889bfb995510072d8c1074c39b55cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0265",
    "kind": "arxiv",
    "version": 1
  }
}