pith. sign in
Pith Number

pith:YCUS4UXZ

pith:2014:YCUS4UXZXDOYE2IGUMNP6FFLOK
not attested not anchored not stored refs pending

Percolation crossing probabilities in hexagons: a numerical study

Jacob J. H. Simmons, Robert M. Ziff, Steven M. Flores

arxiv:1407.8163 v2 · 2014-07-30 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YCUS4UXZXDOYE2IGUMNP6FFLOK}

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 2026-05-18T01:42:27.197419Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c0a92e52f9b8dd826906a31aff14ab72bd5243432ae0d55b7e1ad1182a1ec60c

Aliases

arxiv: 1407.8163 · arxiv_version: 1407.8163v2 · doi: 10.48550/arxiv.1407.8163 · pith_short_12: YCUS4UXZXDOY · pith_short_16: YCUS4UXZXDOYE2IG · pith_short_8: YCUS4UXZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YCUS4UXZXDOYE2IGUMNP6FFLOK \
  | 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: c0a92e52f9b8dd826906a31aff14ab72bd5243432ae0d55b7e1ad1182a1ec60c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1ed986cd642ac08d344f25e2cb21206379c08134c68933becd4d14e28b30ecc8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2014-07-30T19:12:49Z",
    "title_canon_sha256": "2258900eb983c0a8c3e62b54c1f21af3717d8792a9be255600bbf3b5ac81bc6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.8163",
    "kind": "arxiv",
    "version": 2
  }
}