Pith Number

pith:RHP57SRX

pith:2012:RHP57SRXAYKOEZFXLF3B6EKTYG

not attested not anchored not stored refs pending

Gumbel fluctuations for cover times in the discrete torus

David Belius

arxiv:1202.0190 v2 · 2012-02-01 · 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{RHP57SRXAYKOEZFXLF3B6EKTYG}

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	2026-05-18T03:41:21.487250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89dfdfca370614e264b759761f1153c187fbb605a93e5dc72c8f1a7cb5ccb3b3

Aliases

arxiv: 1202.0190 · arxiv_version: 1202.0190v2 · doi: 10.48550/arxiv.1202.0190 · pith_short_12: RHP57SRXAYKO · pith_short_16: RHP57SRXAYKOEZFX · pith_short_8: RHP57SRX

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/RHP57SRXAYKOEZFXLF3B6EKTYG \
  | 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: 89dfdfca370614e264b759761f1153c187fbb605a93e5dc72c8f1a7cb5ccb3b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0dc32394099c7b76ef35a6970a5c94586d9f930eab996071abaf954e986f348",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-01T15:29:15Z",
    "title_canon_sha256": "88007562081552cef0b2eac7c1da85fc29db725c08618171395004a529ff008b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0190",
    "kind": "arxiv",
    "version": 2
  }
}