Pith Number

pith:XFSNKSH5

pith:2013:XFSNKSH5JJUCD2Q7TS5QF7BXGH

not attested not anchored not stored refs pending

Sharpness versus robustness of the percolation transition in 2D contact processes

J. E. Bj\"ornberg, J. van den Berg, M. Heydenreich

arxiv:1306.1032 v4 · 2013-06-05 · 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{XFSNKSH5JJUCD2Q7TS5QF7BXGH}

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	2026-05-18T02:42:46.685212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b964d548fd4a6821ea1f9cbb02fc3731c405d35ce88962ef2759b4eb99078d53

Aliases

arxiv: 1306.1032 · arxiv_version: 1306.1032v4 · doi: 10.48550/arxiv.1306.1032 · pith_short_12: XFSNKSH5JJUC · pith_short_16: XFSNKSH5JJUCD2Q7 · pith_short_8: XFSNKSH5

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/XFSNKSH5JJUCD2Q7TS5QF7BXGH \
  | 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: b964d548fd4a6821ea1f9cbb02fc3731c405d35ce88962ef2759b4eb99078d53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a680b6df792fdad8b0e67ac148c04cad5d134ef5b1e1fd55a0fdb6594d201d3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-05T09:35:46Z",
    "title_canon_sha256": "7fc5a18f4bb5eb10dce7436dcf662e3fe10fa7ac6d5656439c63cb7dd2bc9fa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1032",
    "kind": "arxiv",
    "version": 4
  }
}