Pith Number

pith:XNJQOR2B

pith:2018:XNJQOR2B7EUMPPQB5Q3Q3TXZNK

not attested not anchored not stored refs pending

Poisson percolation on the oriented square lattice

Irina Cristali, Matthew Junge, Rick Durrett

arxiv:1806.03705 v1 · 2018-06-10 · 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{XNJQOR2B7EUMPPQB5Q3Q3TXZNK}

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	2026-05-18T00:13:42.338800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb53074741f928c7be01ec370dcef96aa1e82fd88b6279d33e1c69e5fc15371e

Aliases

arxiv: 1806.03705 · arxiv_version: 1806.03705v1 · doi: 10.48550/arxiv.1806.03705 · pith_short_12: XNJQOR2B7EUM · pith_short_16: XNJQOR2B7EUMPPQB · pith_short_8: XNJQOR2B

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/XNJQOR2B7EUMPPQB5Q3Q3TXZNK \
  | 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: bb53074741f928c7be01ec370dcef96aa1e82fd88b6279d33e1c69e5fc15371e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c43e0205605c9fad628d0ae9e75763ec36ba140cc3979e3329722d9c6a9f875c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-06-10T18:30:34Z",
    "title_canon_sha256": "35b686297c3c6ad072d9a293b645cc3c3a0f3269dfe3bf934c1e1f77b73f9e41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03705",
    "kind": "arxiv",
    "version": 1
  }
}