Pith Number

pith:T53FADGZ

pith:2026:T53FADGZSS3P32YQRHMRKQNALS

not attested not anchored not stored refs pending

Generalised flip order on the faces of nestohedra

B\'er\'enice Delcroix-Oger, Jovana Obradovi\'c, Pierre-Louis Curien

arxiv:2607.20132 v1 · 2026-07-22 · 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{T53FADGZSS3P32YQRHMRKQNALS}

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	2026-07-23T01:25:03.128347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f76500cd994b6fdeb1089d91541a05cb5157346cf07a1f020c5b5a8c5287498

Aliases

arxiv: 2607.20132 · arxiv_version: 2607.20132v1 · doi: 10.48550/arxiv.2607.20132 · pith_short_12: T53FADGZSS3P · pith_short_16: T53FADGZSS3P32YQ · pith_short_8: T53FADGZ

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/T53FADGZSS3P32YQRHMRKQNALS \
  | 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: 9f76500cd994b6fdeb1089d91541a05cb5157346cf07a1f020c5b5a8c5287498

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "066764df5d0957ffffee228b1f27d48b029902841929eb35d838364006d2970e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-22T13:35:37Z",
    "title_canon_sha256": "6a5e57316fe699b58d4fe070f8ba12b5819c3925e362ff9210107fde249eca2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20132",
    "kind": "arxiv",
    "version": 1
  }
}