Pith Number

pith:XKZNPONX

pith:2011:XKZNPONXJLFWIEOHBY3WCJZ34L

not attested not anchored not stored refs pending

Polyhedral models for generalized associahedra via Coxeter elements

Salvatore Stella

arxiv:1111.1657 v3 · 2011-11-07 · 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{XKZNPONXJLFWIEOHBY3WCJZ34L}

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	2026-05-18T03:42:34.045660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bab2d7b9b74acb6411c70e3761273be2c7f456043c92587cc6a2f506386d4d69

Aliases

arxiv: 1111.1657 · arxiv_version: 1111.1657v3 · doi: 10.48550/arxiv.1111.1657 · pith_short_12: XKZNPONXJLFW · pith_short_16: XKZNPONXJLFWIEOH · pith_short_8: XKZNPONX

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/XKZNPONXJLFWIEOHBY3WCJZ34L \
  | 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: bab2d7b9b74acb6411c70e3761273be2c7f456043c92587cc6a2f506386d4d69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffdfcd408ebb2aea3b8a4a6b8c634076c804d73a1a44f6066f5db4dc580fcbbf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-07T17:39:14Z",
    "title_canon_sha256": "4788dbc9aa96f729b0bb195fed9bcbf0c5aaeb0e4e57bf78408b974018cd87ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1657",
    "kind": "arxiv",
    "version": 3
  }
}