Pith Number

pith:EB2JXHDT

pith:2022:EB2JXHDT2JRZOZAPYJ3BQZS22U

not attested not anchored not stored refs pending

Almost sharp sharpness for Poisson Boolean percolation

Barbara Dembin, Vincent Tassion

arxiv:2209.00999 v1 · 2022-09-02 · 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{EB2JXHDT2JRZOZAPYJ3BQZS22U}

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.

Cited by

2 papers in Pith

Continuity of the critical value and a shape theorem for long-range percolation

Subcritical annulus crossing in spatial random graphs

Receipt and verification

First computed	2026-07-05T04:54:07.286139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20749b9c73d26397640fc27618665ad5131598d9d35e496d1bd4ed0947435391

Aliases

arxiv: 2209.00999 · arxiv_version: 2209.00999v1 · doi: 10.48550/arxiv.2209.00999 · pith_short_12: EB2JXHDT2JRZ · pith_short_16: EB2JXHDT2JRZOZAP · pith_short_8: EB2JXHDT

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/EB2JXHDT2JRZOZAPYJ3BQZS22U \
  | 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: 20749b9c73d26397640fc27618665ad5131598d9d35e496d1bd4ed0947435391

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b763850c05495d9cbee620b20d814e2de9cf787e2441f704def8caefaf0a5739",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-09-02T12:31:32Z",
    "title_canon_sha256": "2fb925ee5f1e1472ccabd96c589408813e6979f75ee2373ebfbe5ae60ff36d61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.00999",
    "kind": "arxiv",
    "version": 1
  }
}