Pith Number

pith:YYZKKZIN

pith:2015:YYZKKZINEOKSG6DE6FB4NCYHLC

not attested not anchored not stored refs pending

Continuity of the time and isoperimetric constants in supercritical percolation

Eviatar B. Procaccia, Marie Th\'eret, Olivier Garet, R\'egine Marchand

arxiv:1512.00742 v2 · 2015-12-02 · 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{YYZKKZINEOKSG6DE6FB4NCYHLC}

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	2026-05-18T01:13:23.887759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c632a5650d2395237864f143c68b07589b4cfe4ea7e6133b36f6c550797e61e4

Aliases

arxiv: 1512.00742 · arxiv_version: 1512.00742v2 · doi: 10.48550/arxiv.1512.00742 · pith_short_12: YYZKKZINEOKS · pith_short_16: YYZKKZINEOKSG6DE · pith_short_8: YYZKKZIN

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/YYZKKZINEOKSG6DE6FB4NCYHLC \
  | 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: c632a5650d2395237864f143c68b07589b4cfe4ea7e6133b36f6c550797e61e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98e1ba0722099ad8416d412c5ce5701e545c6723608231caa09e4e81b8acfbed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-02T15:43:41Z",
    "title_canon_sha256": "fe3557bc877301e242a9767579231eb63f84fe5be13f55589041a13289dcd2e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00742",
    "kind": "arxiv",
    "version": 2
  }
}