Pith Number

pith:6C6KYTEP

pith:2025:6C6KYTEPNAYF7JEOQJ4DOCCEXD

not attested not anchored not stored refs pending

Eulerian posets and $Z$-polynomials

Luis Ferroni, Roberto Riccardi

arxiv:2510.17679 v2 · 2025-10-20 · 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{6C6KYTEPNAYF7JEOQJ4DOCCEXD}

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	2026-08-11T02:23:44.160230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0bcac4c8f68305fa48e8278370844b8e83850fb58da87b86069856b16eef904

Aliases

arxiv: 2510.17679 · arxiv_version: 2510.17679v2 · doi: 10.48550/arxiv.2510.17679 · pith_short_12: 6C6KYTEPNAYF · pith_short_16: 6C6KYTEPNAYF7JEO · pith_short_8: 6C6KYTEP

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/6C6KYTEPNAYF7JEOQJ4DOCCEXD \
  | 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: f0bcac4c8f68305fa48e8278370844b8e83850fb58da87b86069856b16eef904

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbd9d1a793a3777b0fba73ff3eaa3faa0e9dd0e916902eb9a264aff6b0eb4d73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-10-20T15:52:06Z",
    "title_canon_sha256": "94cc1b7502db75b6cd3f82f25a006d8b8371bd2c87ec9492fd8761dc9c273ab2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.17679",
    "kind": "arxiv",
    "version": 2
  }
}