Pith Number

pith:Q32U2FC5

pith:2014:Q32U2FC5GKQDJBSPLPB2SC27L5

not attested not anchored not stored refs pending

Fan realizations of subword complexes and multi-associahedra via Gale duality

Cesar Ceballos, Jean-Philippe Labb\'e, Nantel Bergeron

arxiv:1404.7380 v2 · 2014-04-29 · 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{Q32U2FC5GKQDJBSPLPB2SC27L5}

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	2026-05-18T01:00:10.512873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86f54d145d32a034864f5bc3a90b5f5f459261442e3e296f1fe2636a084ef51e

Aliases

arxiv: 1404.7380 · arxiv_version: 1404.7380v2 · doi: 10.48550/arxiv.1404.7380 · pith_short_12: Q32U2FC5GKQD · pith_short_16: Q32U2FC5GKQDJBSP · pith_short_8: Q32U2FC5

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/Q32U2FC5GKQDJBSPLPB2SC27L5 \
  | 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: 86f54d145d32a034864f5bc3a90b5f5f459261442e3e296f1fe2636a084ef51e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fd682275c79859c16ffa329577399e35b590340c7d743e5210e36e5dcdbacc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-29T14:43:19Z",
    "title_canon_sha256": "7ce205279b3f473560e94e0ba57b6fe8fcb1f0d8361242586d78002944fc11e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7380",
    "kind": "arxiv",
    "version": 2
  }
}