Pith Number

pith:NGZCHVGJ

pith:2016:NGZCHVGJUPYI3MYP2OKCFNNLRT

not attested not anchored not stored refs pending

Poset structures on (m + 2)-angulations and polynomial bases of the quotient by G^m -quasisymmetric functions

Fr\'ed\'eric Chapoton (IRMA), Jean-Christophe Aval (LaBRI)

arxiv:1607.02368 v1 · 2016-07-08 · 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{NGZCHVGJUPYI3MYP2OKCFNNLRT}

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	2026-05-18T01:11:20.591264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69b223d4c9a3f08db30fd39422b5ab8cfd278857a3228e8d33045c22886087f0

Aliases

arxiv: 1607.02368 · arxiv_version: 1607.02368v1 · doi: 10.48550/arxiv.1607.02368 · pith_short_12: NGZCHVGJUPYI · pith_short_16: NGZCHVGJUPYI3MYP · pith_short_8: NGZCHVGJ

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/NGZCHVGJUPYI3MYP2OKCFNNLRT \
  | 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: 69b223d4c9a3f08db30fd39422b5ab8cfd278857a3228e8d33045c22886087f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dec198c258998727560116d715536e770d791a1ac27cdb440cab1dc3c077982a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-08T13:58:14Z",
    "title_canon_sha256": "3de1b8699ddb2c2990ffe4bbedac75610d8519678b39731840d4536e154474a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02368",
    "kind": "arxiv",
    "version": 1
  }
}