Pith Number

pith:532XEAS4

pith:2013:532XEAS4OOH7R2IO2FRAEOKMET

not attested not anchored not stored refs pending

On large deviations for the cover time of two-dimensional torus

Christophe Gallesco, Francis Comets, Marina Vachkovskaia, Serguei Popov

arxiv:1306.5266 v2 · 2013-06-21 · 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{532XEAS4OOH7R2IO2FRAEOKMET}

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	2026-05-18T03:07:44.270645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eef572025c738ff8e90ed16202394c24c1526d937aff0d5d6ad90b34f3b05719

Aliases

arxiv: 1306.5266 · arxiv_version: 1306.5266v2 · doi: 10.48550/arxiv.1306.5266 · pith_short_12: 532XEAS4OOH7 · pith_short_16: 532XEAS4OOH7R2IO · pith_short_8: 532XEAS4

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/532XEAS4OOH7R2IO2FRAEOKMET \
  | 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: eef572025c738ff8e90ed16202394c24c1526d937aff0d5d6ad90b34f3b05719

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d258f5134ba1fb3440dc8853c5f7bcbb7452bf3ba485a8cbd734fdc4d236dd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-21T22:17:15Z",
    "title_canon_sha256": "be9004e50b7e221a459e8ddd50c6349a18e451eea23774b5b157985c32d1e4e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5266",
    "kind": "arxiv",
    "version": 2
  }
}