Pith Number

pith:KJLRUZFY

pith:2013:KJLRUZFYN3LHITSPPMNW3ED3JJ

not attested not anchored not stored refs pending

Sample paths properties of Gaussian fields with equivalent spectral densities

B. Vedel, M. Clausel

arxiv:1302.0809 v1 · 2013-02-04 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJLRUZFYN3LHITSPPMNW3ED3JJ}

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	2026-05-18T03:34:36.250184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52571a64b86ed6744e4f7b1b6d907b4a653cb63e376033e3c30926536020d832

Aliases

arxiv: 1302.0809 · arxiv_version: 1302.0809v1 · doi: 10.48550/arxiv.1302.0809 · pith_short_12: KJLRUZFYN3LH · pith_short_16: KJLRUZFYN3LHITSP · pith_short_8: KJLRUZFY

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/KJLRUZFYN3LHITSPPMNW3ED3JJ \
  | 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: 52571a64b86ed6744e4f7b1b6d907b4a653cb63e376033e3c30926536020d832

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "839420eedfbbc8962940617a90b523edd1225dc7ea3fd7014925a0303de19484",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-04T19:37:45Z",
    "title_canon_sha256": "2f48b9ece7200e4f939a744e246d21bd6e3e0ec51dceed34ca204b358ebc2771"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0809",
    "kind": "arxiv",
    "version": 1
  }
}