pith. sign in
Pith Number

pith:FRDPNTZ2

pith:2012:FRDPNTZ2ZHFBN6DLUKY3GSQXIG
not attested not anchored not stored refs pending

The pressure exerted by adsorbing directed lattice paths and staircase polygons

E. J. Janse van Rensburg, T. Prellberg

arxiv:1210.2761 v3 · 2012-10-09 · math-ph · cond-mat.stat-mech · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FRDPNTZ2ZHFBN6DLUKY3GSQXIG}

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 2026-05-18T01:54:03.765299Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2c46f6cf3ac9ca16f86ba2b1b34a1741992788e74908ad386fdda551b466a73a

Aliases

arxiv: 1210.2761 · arxiv_version: 1210.2761v3 · doi: 10.48550/arxiv.1210.2761 · pith_short_12: FRDPNTZ2ZHFB · pith_short_16: FRDPNTZ2ZHFBN6DL · pith_short_8: FRDPNTZ2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FRDPNTZ2ZHFBN6DLUKY3GSQXIG \
  | 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: 2c46f6cf3ac9ca16f86ba2b1b34a1741992788e74908ad386fdda551b466a73a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0de78aee30559cc9251b4562bf5045eab0070c19f8dcfd2d1e400a1463552834",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-09T21:26:44Z",
    "title_canon_sha256": "3cc945849ee64af6f17f72c99f58190d6514e08b85417febb7019b92efe7ed72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2761",
    "kind": "arxiv",
    "version": 3
  }
}