Pith Number

pith:A7UXSJE6

pith:2003:A7UXSJE6EDWLNJ5ZLD7PXW6VT7

not attested not anchored not stored refs pending

Numerical results for crossing, spanning and wrapping in two-dimensional percolation

Gunnar Pruessner, Nicholas R. Moloney

arxiv:cond-mat/0309126 v1 · 2003-09-05 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A7UXSJE6EDWLNJ5ZLD7PXW6VT7}

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	2026-07-04T14:20:22.578437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07e979249e20ecb6a7b958fefbdbd59fc0c6259de5c9ba4c094b48808fcd55a1

Aliases

arxiv: cond-mat/0309126 · arxiv_version: cond-mat/0309126v1 · doi: 10.48550/arxiv.cond-mat/0309126 · pith_short_12: A7UXSJE6EDWL · pith_short_16: A7UXSJE6EDWLNJ5Z · pith_short_8: A7UXSJE6

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/A7UXSJE6EDWLNJ5ZLD7PXW6VT7 \
  | 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: 07e979249e20ecb6a7b958fefbdbd59fc0c6259de5c9ba4c094b48808fcd55a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44c062a968c3ab7ad754b82111a8d590c8cc2b16b676ad2f69a05815c27f675a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2003-09-05T06:14:41Z",
    "title_canon_sha256": "5e67b4d820792ec437cf329143f8a3dee0f56d3040b4f906aa91cc71b6ee1b73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0309126",
    "kind": "arxiv",
    "version": 1
  }
}