Pith Number

pith:PFR7N63L

pith:2015:PFR7N63LEA2UCOLI4TDNKUOLAH

not attested not anchored not stored refs pending

Clustering of high values in random fields

Ana Paula Martins, Helena Ferreira, Lu\'isa Pereira

arxiv:1509.00637 v1 · 2015-09-02 · 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{PFR7N63LEA2UCOLI4TDNKUOLAH}

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	2026-05-18T01:34:06.607624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7963f6fb6b2035413968e4c6d551cb01c682cce230cebf1f0f39b35d18debca0

Aliases

arxiv: 1509.00637 · arxiv_version: 1509.00637v1 · doi: 10.48550/arxiv.1509.00637 · pith_short_12: PFR7N63LEA2U · pith_short_16: PFR7N63LEA2UCOLI · pith_short_8: PFR7N63L

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/PFR7N63LEA2UCOLI4TDNKUOLAH \
  | 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: 7963f6fb6b2035413968e4c6d551cb01c682cce230cebf1f0f39b35d18debca0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c811c8ea08f54b0460c529daffdead54249b92641e188a7403b0c60b17c0b25a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-02T10:54:06Z",
    "title_canon_sha256": "5dc4789e3eb670f1c674eefb6be7f92ed04b3238269adfe4899cb87ff5d036cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00637",
    "kind": "arxiv",
    "version": 1
  }
}