Pith Number

pith:2M6XJ3IY

pith:2015:2M6XJ3IYNWIK32EC73YPSRPRI7

not attested not anchored not stored refs pending

General and exact approach to percolation on random graphs

Antoine Allard, Jean-Gabriel Young, Laurent H\'ebert-Dufresne, Louis J. Dub\'e

arxiv:1509.01207 v1 · 2015-09-03 · cond-mat.stat-mech · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2M6XJ3IYNWIK32EC73YPSRPRI7}

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	2026-05-18T01:24:18.369071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d33d74ed186d90ade882fef0f945f147c8d27fcad63321f82d6f357a56900864

Aliases

arxiv: 1509.01207 · arxiv_version: 1509.01207v1 · doi: 10.48550/arxiv.1509.01207 · pith_short_12: 2M6XJ3IYNWIK · pith_short_16: 2M6XJ3IYNWIK32EC · pith_short_8: 2M6XJ3IY

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/2M6XJ3IYNWIK32EC73YPSRPRI7 \
  | 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: d33d74ed186d90ade882fef0f945f147c8d27fcad63321f82d6f357a56900864

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9382d104c304a4427795ccbe63c9fc5275b1e9a879ad1469ff759d5cda8ff048",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-09-03T18:49:12Z",
    "title_canon_sha256": "5343433a504811fd47b888b07033960595019e658151f4c041b333c7b58b4c70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01207",
    "kind": "arxiv",
    "version": 1
  }
}