Pith Number

pith:4CQ7ZTOR

pith:2011:4CQ7ZTORYLRVTEZBT5JLDXNZ2D

not attested not anchored not stored refs pending

Subword complexes, cluster complexes, and generalized multi-associahedra

Cesar Ceballos, Christian Stump, Jean-Philippe Labb\'e

arxiv:1108.1776 v4 · 2011-08-08 · 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{4CQ7ZTORYLRVTEZBT5JLDXNZ2D}

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	2026-05-18T03:18:51.974534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0a1fccdd1c2e35993219f52b1ddb9d0fdca67e4ea5b0174241af3c002f73139

Aliases

arxiv: 1108.1776 · arxiv_version: 1108.1776v4 · doi: 10.48550/arxiv.1108.1776 · pith_short_12: 4CQ7ZTORYLRV · pith_short_16: 4CQ7ZTORYLRVTEZB · pith_short_8: 4CQ7ZTOR

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/4CQ7ZTORYLRVTEZBT5JLDXNZ2D \
  | 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: e0a1fccdd1c2e35993219f52b1ddb9d0fdca67e4ea5b0174241af3c002f73139

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2101f3091aa6929bae0f48906a1abd84a81ee2b309841a886a11b444a7a04f7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-08T18:35:54Z",
    "title_canon_sha256": "5b5bcf4bab69c420f70ac8d9d3581652ce6f4b20ff0ccf43dc636a75fbcc0993"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1776",
    "kind": "arxiv",
    "version": 4
  }
}