Pith Number

pith:RNPOMJQM

pith:2013:RNPOMJQMHRUVDD6XRHW75KYQSD

not attested not anchored not stored refs pending

The Number of Open Paths in Oriented Percolation

Jean-Baptiste Gou\'er\'e (MAPMO), Olivier Garet, R\'egine Marchand

arxiv:1312.2571 v3 · 2013-12-09 · 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{RNPOMJQMHRUVDD6XRHW75KYQSD}

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	2026-05-18T02:25:34.274672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b5ee6260c3c69518fd789edfeab1090ca52471da3a1159f966f199252e55f64

Aliases

arxiv: 1312.2571 · arxiv_version: 1312.2571v3 · doi: 10.48550/arxiv.1312.2571 · pith_short_12: RNPOMJQMHRUV · pith_short_16: RNPOMJQMHRUVDD6X · pith_short_8: RNPOMJQM

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/RNPOMJQMHRUVDD6XRHW75KYQSD \
  | 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: 8b5ee6260c3c69518fd789edfeab1090ca52471da3a1159f966f199252e55f64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21b28aa0def6fda9b8b27ae33f1dcf16421fd8802983a589ab1c077086dd4360",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-09T20:35:13Z",
    "title_canon_sha256": "ac542f08ebfc8cb87ea8e2195f8473166a9b0b484bb4f2f1a9da71df790307f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2571",
    "kind": "arxiv",
    "version": 3
  }
}