Pith Number

pith:7RZKPG6I

pith:2005:7RZKPG6IVI7VVEB3SL5R3HFI4F

not attested not anchored not stored refs pending

Oriented Percolation in One-Dimensional 1/|x-y|^2 Percolation Models

D. H. U. Marchetti, M. E. Vares, V. Sidoravicius

arxiv:math/0506404 v3 · 2005-06-20 · 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{7RZKPG6IVI7VVEB3SL5R3HFI4F}

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	2026-05-18T03:27:10.520621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc72a79bc8aa3f5a903b92fb1d9ca8e170c3ac94860cf321fbd5a236b2fbcd15

Aliases

arxiv: math/0506404 · arxiv_version: math/0506404v3 · doi: 10.48550/arxiv.math/0506404 · pith_short_12: 7RZKPG6IVI7V · pith_short_16: 7RZKPG6IVI7VVEB3 · pith_short_8: 7RZKPG6I

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/7RZKPG6IVI7VVEB3SL5R3HFI4F \
  | 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: fc72a79bc8aa3f5a903b92fb1d9ca8e170c3ac94860cf321fbd5a236b2fbcd15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b68e277fafb37909baa098d38b4ce6bd99c00cc180cc522d9477b92ffd8d3195",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2005-06-20T16:07:33Z",
    "title_canon_sha256": "0660034a258b983fdb87f29bc572a948fccb21c918f2ea8f180fa2be51d53084"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506404",
    "kind": "arxiv",
    "version": 3
  }
}