Pith Number

pith:7HT5UQ54

pith:2016:7HT5UQ54NML3FI6YS63KJL3KBW

not attested not anchored not stored refs pending

Multivariate P-Eulerian polynomials

Madeleine Leander, Petter Br\"and\'en

arxiv:1604.04140 v1 · 2016-04-14 · 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{7HT5UQ54NML3FI6YS63KJL3KBW}

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	2026-05-18T01:17:06.522389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9e7da43bc6b17b2a3d897b6a4af6a0dad110e6955d5d3200935bea9a67059e2

Aliases

arxiv: 1604.04140 · arxiv_version: 1604.04140v1 · doi: 10.48550/arxiv.1604.04140 · pith_short_12: 7HT5UQ54NML3 · pith_short_16: 7HT5UQ54NML3FI6Y · pith_short_8: 7HT5UQ54

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/7HT5UQ54NML3FI6YS63KJL3KBW \
  | 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: f9e7da43bc6b17b2a3d897b6a4af6a0dad110e6955d5d3200935bea9a67059e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d69244454b1fd86f9fc4d1b6012486b22061afeeaaff6d86aa5e487c0568005",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-14T13:05:22Z",
    "title_canon_sha256": "e22296a35db3f48ffd8be9bd28e8258bf8b4d6593054196b1bbdc1fd1fc464dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04140",
    "kind": "arxiv",
    "version": 1
  }
}