Pith Number

pith:ES4NN7LK

pith:2025:ES4NN7LK76E3CTA3YIYMDTOTHH

not attested not anchored not stored refs pending

On posets and polytopes attached to arbors

Fr\'ed\'eric Chapoton (IRMA)

arxiv:2503.04247 v2 · 2025-03-06 · 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{ES4NN7LK76E3CTA3YIYMDTOTHH}

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	2026-07-05T11:58:25.745588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24b8d6fd6aff89b14c1bc230c1cdd339d1f620c5e0eebcbe8f26c6eeeab10b34

Aliases

arxiv: 2503.04247 · arxiv_version: 2503.04247v2 · doi: 10.48550/arxiv.2503.04247 · pith_short_12: ES4NN7LK76E3 · pith_short_16: ES4NN7LK76E3CTA3 · pith_short_8: ES4NN7LK

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/ES4NN7LK76E3CTA3YIYMDTOTHH \
  | 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: 24b8d6fd6aff89b14c1bc230c1cdd339d1f620c5e0eebcbe8f26c6eeeab10b34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd33ff24b3ab9560efbedc0bf559a89f1035e44e7ac31e264753314edd81bfb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-06T09:30:38Z",
    "title_canon_sha256": "d2e8195dd5bae6a6e0d2ae69c789119f46c37cb4a61685d96ebaa64d3162e7af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.04247",
    "kind": "arxiv",
    "version": 2
  }
}