Pith Number

pith:PH32MTCS

pith:2015:PH32MTCSIO7DOO3QIDE6LTNPTP

not attested not anchored not stored refs pending

Fluctuations of the Euler-Poincar\'e characteristic for random spherical harmonics

Domenico Marinucci, Igor Wigman, Valentina Cammarota

arxiv:1504.01868 v1 · 2015-04-08 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PH32MTCSIO7DOO3QIDE6LTNPTP}

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	2026-05-18T00:26:38.172349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79f7a64c5243be373b7040c9e5cdaf9bf936503297afd755a2c59eb30413b1c0

Aliases

arxiv: 1504.01868 · arxiv_version: 1504.01868v1 · doi: 10.48550/arxiv.1504.01868 · pith_short_12: PH32MTCSIO7D · pith_short_16: PH32MTCSIO7DOO3Q · pith_short_8: PH32MTCS

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/PH32MTCSIO7DOO3QIDE6LTNPTP \
  | 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: 79f7a64c5243be373b7040c9e5cdaf9bf936503297afd755a2c59eb30413b1c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cc66ebd35705e52db434388a0f338c50d21a085fc7b68ef88c1bd8b706b64b5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-08T08:54:24Z",
    "title_canon_sha256": "d5411eed2d1f22d69b166372828cc05542706d21b1ea36cb83863d5427f204d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01868",
    "kind": "arxiv",
    "version": 1
  }
}