Pith Number

pith:UTVFCO54

pith:2012:UTVFCO547J7UGBCMLKAHTIF5OL

not attested not anchored not stored refs pending

Absence of site percolation at criticality in Z^2 x {0,1}

Charles M. Newman, Michael Damron, Vladas Sidoravicius

arxiv:1211.4138 v1 · 2012-11-17 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UTVFCO547J7UGBCMLKAHTIF5OL}

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	2026-05-18T03:40:27.863189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4ea513bbcfa7f43044c5a8079a0bd72dd01850e3edfff7b8bd39bc196983992

Aliases

arxiv: 1211.4138 · arxiv_version: 1211.4138v1 · doi: 10.48550/arxiv.1211.4138 · pith_short_12: UTVFCO547J7U · pith_short_16: UTVFCO547J7UGBCM · pith_short_8: UTVFCO54

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/UTVFCO547J7UGBCMLKAHTIF5OL \
  | 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: a4ea513bbcfa7f43044c5a8079a0bd72dd01850e3edfff7b8bd39bc196983992

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ede0c633750591cf86ab90cb1e66278d3cdd61264428af97f82308b36d21decb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-17T17:10:20Z",
    "title_canon_sha256": "cb85814124c80a380705e073dcb5646b5b76a9b6b0057c06914f5cdf9068e0f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4138",
    "kind": "arxiv",
    "version": 1
  }
}