Pith Number

pith:M7WD4OE5

pith:2012:M7WD4OE52KM5DT6A4QM4RVWCEP

not attested not anchored not stored refs pending

Nonmonotonic size dependence of the critical concentration in 2D percolation of straight rigid rods under equilibrium conditions

A. J. Ramirez-Pastor, D. A. Matoz-Fernandez, D. H. Linares

arxiv:1205.6875 v1 · 2012-05-31 · cond-mat.stat-mech · physics.chem-ph · physics.comp-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{M7WD4OE52KM5DT6A4QM4RVWCEP}

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	2026-05-18T01:57:09.628811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67ec3e389dd299d1cfc0e419c8d6c223fd99598e35728d8f85e2748a4b8d3719

Aliases

arxiv: 1205.6875 · arxiv_version: 1205.6875v1 · doi: 10.48550/arxiv.1205.6875 · pith_short_12: M7WD4OE52KM5 · pith_short_16: M7WD4OE52KM5DT6A · pith_short_8: M7WD4OE5

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/M7WD4OE52KM5DT6A4QM4RVWCEP \
  | 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: 67ec3e389dd299d1cfc0e419c8d6c223fd99598e35728d8f85e2748a4b8d3719

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9bb8d1a0566b51d0896d832c681860afd04c6522d580907a62e7567ae359aae",
    "cross_cats_sorted": [
      "physics.chem-ph",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-05-31T03:22:30Z",
    "title_canon_sha256": "f64e6afbdfe45a1f82a61e2a6cb31ac899a98c7ae72658fc123d3a1eee0c5068"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6875",
    "kind": "arxiv",
    "version": 1
  }
}