Pith Number

pith:EC4XHYRN

pith:2012:EC4XHYRNXDIVAHZSTN4KBVVFXN

not attested not anchored not stored refs pending

Polynomials with only real zeros and the Eulerian polynomials of type D

Shi-Mei Ma

arxiv:1205.6242 v2 · 2012-05-29 · 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{EC4XHYRNXDIVAHZSTN4KBVVFXN}

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	2026-05-18T03:54:25.342614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20b973e22db8d1501f329b78a0d6a5bb41e6147b405a1f0b685662095a7cf423

Aliases

arxiv: 1205.6242 · arxiv_version: 1205.6242v2 · doi: 10.48550/arxiv.1205.6242 · pith_short_12: EC4XHYRNXDIV · pith_short_16: EC4XHYRNXDIVAHZS · pith_short_8: EC4XHYRN

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/EC4XHYRNXDIVAHZSTN4KBVVFXN \
  | 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: 20b973e22db8d1501f329b78a0d6a5bb41e6147b405a1f0b685662095a7cf423

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "557ba1f8083129be131a52fe90fa000c9eeecd9dc11bfc97abad503cc8a84ca4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-29T00:41:19Z",
    "title_canon_sha256": "d5767473d18154d5374e8a2de36bfef9c15da1c9579454025ee28d77e8d421a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6242",
    "kind": "arxiv",
    "version": 2
  }
}