Pith Number

pith:3HRX3AXX

pith:2014:3HRX3AXXMI5BIOTWAYJXAYOEBD

not attested not anchored not stored refs pending

Boolean Percolation on Doubling Graphs

Cristian F. Coletti, Daniel Miranda, Sebastian P. Grynberg

arxiv:1410.5347 v2 · 2014-10-20 · 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{3HRX3AXXMI5BIOTWAYJXAYOEBD}

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	2026-05-18T00:04:47.814497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9e37d82f7623a143a7606137061c408d9248b72ebdad0e43de21eae2b52c318

Aliases

arxiv: 1410.5347 · arxiv_version: 1410.5347v2 · doi: 10.48550/arxiv.1410.5347 · pith_short_12: 3HRX3AXXMI5B · pith_short_16: 3HRX3AXXMI5BIOTW · pith_short_8: 3HRX3AXX

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/3HRX3AXXMI5BIOTWAYJXAYOEBD \
  | 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: d9e37d82f7623a143a7606137061c408d9248b72ebdad0e43de21eae2b52c318

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dcf2428cd3db81797510553cdec60d0d2eec7945a847d344ca1143fbb27e76c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-10-20T16:39:56Z",
    "title_canon_sha256": "67d95e904e4bb31b6466d51953c6c109727fc957278b1a4cf5f954362783d2ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5347",
    "kind": "arxiv",
    "version": 2
  }
}