Pith Number

pith:NUVYW3XU

pith:2017:NUVYW3XUINH6PVYBKG5NYRFSLE

not attested not anchored not stored refs pending

Poisson percolation on the square lattice

Irina Cristali, Matthew Junge, Rick Durrett

arxiv:1712.03403 v1 · 2017-12-09 · 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{NUVYW3XUINH6PVYBKG5NYRFSLE}

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	2026-05-18T00:28:21.372440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d2b8b6ef4434fe7d70151badc44b2590d17e847e1b247b18d2557fcc29c4815

Aliases

arxiv: 1712.03403 · arxiv_version: 1712.03403v1 · doi: 10.48550/arxiv.1712.03403 · pith_short_12: NUVYW3XUINH6 · pith_short_16: NUVYW3XUINH6PVYB · pith_short_8: NUVYW3XU

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/NUVYW3XUINH6PVYBKG5NYRFSLE \
  | 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: 6d2b8b6ef4434fe7d70151badc44b2590d17e847e1b247b18d2557fcc29c4815

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03a268ef6983e87841c5f92a6b16beea8c1e7bc7dcc395f929fe0aeb4890f4f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-09T15:35:10Z",
    "title_canon_sha256": "687c4f75521bccd1e00ab9e5b1ae171f05fef949ae86ea483f74012eb233c415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03403",
    "kind": "arxiv",
    "version": 1
  }
}