Pith Number

pith:QJ4ULOHF

pith:2011:QJ4ULOHFEAKNGISDQX63SV4KSH

not attested not anchored not stored refs pending

Subcritical percolation with a line of defects

D. Ioffe, S. Friedli, Y. Velenik

arxiv:1103.0411 v3 · 2011-03-02 · math.PR · cond-mat.stat-mech · 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{QJ4ULOHFEAKNGISDQX63SV4KSH}

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	2026-05-18T02:29:44.436761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

827945b8e52014d3224385fdb9578a91e44ae34c7ff1c8dcc512a995fadcbb5f

Aliases

arxiv: 1103.0411 · arxiv_version: 1103.0411v3 · doi: 10.48550/arxiv.1103.0411 · pith_short_12: QJ4ULOHFEAKN · pith_short_16: QJ4ULOHFEAKNGISD · pith_short_8: QJ4ULOHF

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/QJ4ULOHFEAKNGISDQX63SV4KSH \
  | 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: 827945b8e52014d3224385fdb9578a91e44ae34c7ff1c8dcc512a995fadcbb5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec025ce9a15355e925809e4e05026ddb01e89480479b802b4650dba778994b24",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-02T12:40:39Z",
    "title_canon_sha256": "1face0272e307e08cf64fe15869433c48089a2ea3e054dc00c1e24fcebce5d5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0411",
    "kind": "arxiv",
    "version": 3
  }
}