Pith Number

pith:7QGPLUT4

pith:2024:7QGPLUT42FINTFUFP4FYV5HMRA

not attested not anchored not stored refs pending

Colored Multiset Eulerian Polynomials

Bin Han, Danai Deligeorgaki, Liam Solus

arxiv:2407.12076 v2 · 2024-07-16 · 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{7QGPLUT42FINTFUFP4FYV5HMRA}

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	2026-07-05T11:43:56.187962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc0cf5d27cd150d996857f0b8af4ec88259bab00e2ab901e9c88065b7d4ca974

Aliases

arxiv: 2407.12076 · arxiv_version: 2407.12076v2 · doi: 10.48550/arxiv.2407.12076 · pith_short_12: 7QGPLUT42FIN · pith_short_16: 7QGPLUT42FINTFUF · pith_short_8: 7QGPLUT4

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/7QGPLUT42FINTFUFP4FYV5HMRA \
  | 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: fc0cf5d27cd150d996857f0b8af4ec88259bab00e2ab901e9c88065b7d4ca974

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a0be161c0d00a107ebf15468c481bc95172f4a4c675bc6299ecff5152c84d76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-07-16T17:48:53Z",
    "title_canon_sha256": "ea135116f1cb728c281065412cf9b8eca38635f57372030d7a0c862b7d63e644"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.12076",
    "kind": "arxiv",
    "version": 2
  }
}