Pith Number

pith:DGRAM2QH

pith:2013:DGRAM2QH4XXVFUVNGBRASDAS6M

not attested not anchored not stored refs pending

Statistical Curse of the Second Half Rank, Eulerian numbers and Stirling numbers

Stephane Ouvry

arxiv:1310.5743 v1 · 2013-10-14 · math.ST · cond-mat.stat-mech · math.HO · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DGRAM2QH4XXVFUVNGBRASDAS6M}

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	2026-05-18T03:09:32.533569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19a2066a07e5ef52d2ad3062090c12f3289ae519787578d7cbc4cd40b35cc3dd

Aliases

arxiv: 1310.5743 · arxiv_version: 1310.5743v1 · doi: 10.48550/arxiv.1310.5743 · pith_short_12: DGRAM2QH4XXV · pith_short_16: DGRAM2QH4XXVFUVN · pith_short_8: DGRAM2QH

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/DGRAM2QH4XXVFUVNGBRASDAS6M \
  | 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: 19a2066a07e5ef52d2ad3062090c12f3289ae519787578d7cbc4cd40b35cc3dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08cee47dc17f3447175a2fe2d40460f5762e78fb0e3ddcc71850bd82e459a728",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.HO",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-10-14T13:04:06Z",
    "title_canon_sha256": "57a2c9d417fa6a7a2ba7fb89aa3c0141acdb330c4fa6f9bee7524a3550b1db93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5743",
    "kind": "arxiv",
    "version": 1
  }
}