Pith Number

pith:FGY4LB5C

pith:2016:FGY4LB5CJ3JPAFHD7L26LWY7OG

not attested not anchored not stored refs pending

Exceptional times for percolation under exclusion dynamics

Christophe Garban, Hugo Vanneuville

arxiv:1605.04766 v5 · 2016-05-16 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FGY4LB5CJ3JPAFHD7L26LWY7OG}

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	2026-05-17T23:42:03.525618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29b1c587a24ed2f014e3faf5e5db1f718b129db69984b544c527314c079ba633

Aliases

arxiv: 1605.04766 · arxiv_version: 1605.04766v5 · doi: 10.48550/arxiv.1605.04766 · pith_short_12: FGY4LB5CJ3JP · pith_short_16: FGY4LB5CJ3JPAFHD · pith_short_8: FGY4LB5C

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/FGY4LB5CJ3JPAFHD7L26LWY7OG \
  | 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: 29b1c587a24ed2f014e3faf5e5db1f718b129db69984b544c527314c079ba633

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d71b2e542fafa2131787095d488bb028c456e11980b96ab04eaf34f8ea4246b6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-16T13:28:06Z",
    "title_canon_sha256": "9b65c9e6b3b14db1d54639dcb734e5ce8e9acee93a1f9a0b81e303ba16574a5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04766",
    "kind": "arxiv",
    "version": 5
  }
}