Pith Number

pith:TB6WG4QN

pith:2012:TB6WG4QNMMEX5X6BJS4IDAPHOK

not attested not anchored not stored refs pending

Estimating the Upcrossings Index

Ana Paula Martins, Helena Ferreira, Jo\~ao Renato Sebasti\~ao, Lu\'isa Pereira

arxiv:1204.1905 v1 · 2012-04-09 · math.ST · 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{TB6WG4QNMMEX5X6BJS4IDAPHOK}

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	2026-05-18T03:58:14.779492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

987d63720d63097edfc14cb88181e7729dc26d9a159b274b4881d7a972e42725

Aliases

arxiv: 1204.1905 · arxiv_version: 1204.1905v1 · doi: 10.48550/arxiv.1204.1905 · pith_short_12: TB6WG4QNMMEX · pith_short_16: TB6WG4QNMMEX5X6B · pith_short_8: TB6WG4QN

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/TB6WG4QNMMEX5X6BJS4IDAPHOK \
  | 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: 987d63720d63097edfc14cb88181e7729dc26d9a159b274b4881d7a972e42725

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3538bd437e6e51955d9d41762ff2021066226454f64ae1931323a55bad956045",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-04-09T15:36:35Z",
    "title_canon_sha256": "dcf990ba6efc0e87f1563938ca33c8f8a45849912067a11c6dbab4688f84ed1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1905",
    "kind": "arxiv",
    "version": 1
  }
}