Pith Number

pith:MFKEEONI

pith:2012:MFKEEONI6KA2QA562OFRR6NEIM

not attested not anchored not stored refs pending

The $\s$-Eulerian polynomials have only real roots

Carla D. Savage, Mirk\'o Visontai

arxiv:1208.3831 v3 · 2012-08-19 · 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{MFKEEONI6KA2QA562OFRR6NEIM}

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	2026-05-18T02:32:00.495283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61544239a8f281a803bed38b18f9a44314172ffc0914d650eb847f2b51ca6dde

Aliases

arxiv: 1208.3831 · arxiv_version: 1208.3831v3 · doi: 10.48550/arxiv.1208.3831 · pith_short_12: MFKEEONI6KA2 · pith_short_16: MFKEEONI6KA2QA56 · pith_short_8: MFKEEONI

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/MFKEEONI6KA2QA562OFRR6NEIM \
  | 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: 61544239a8f281a803bed38b18f9a44314172ffc0914d650eb847f2b51ca6dde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb9e0e3b85a64ce3c5be217fc2114319c38cf75addd60d010119d7611db9029d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-19T12:57:08Z",
    "title_canon_sha256": "5c897aecce098f31945e17be9f490c72eac739afeea71c9ed9ee4b01bad65b80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3831",
    "kind": "arxiv",
    "version": 3
  }
}