Pith Number

pith:QXKNUDLE

pith:2016:QXKNUDLE4HHMMSFMETXQASF6FY

not attested not anchored not stored refs pending

Percolation of random nodal lines

Damien Gayet (IF), Vincent Beffara (IF)

arxiv:1605.08605 v2 · 2016-05-27 · 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{QXKNUDLE4HHMMSFMETXQASF6FY}

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	2026-05-18T01:11:04.671034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85d4da0d64e1cec648ac24ef0048be2e15a2561fee4f85d3281fbf17e1ac0e98

Aliases

arxiv: 1605.08605 · arxiv_version: 1605.08605v2 · doi: 10.48550/arxiv.1605.08605 · pith_short_12: QXKNUDLE4HHM · pith_short_16: QXKNUDLE4HHMMSFM · pith_short_8: QXKNUDLE

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/QXKNUDLE4HHMMSFMETXQASF6FY \
  | 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: 85d4da0d64e1cec648ac24ef0048be2e15a2561fee4f85d3281fbf17e1ac0e98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a127752becf6417aa6aff116eb95ee03c0304691a4930d12dee66ec1d49e487f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-27T12:22:37Z",
    "title_canon_sha256": "9118b737c8a0e1006e66c111727b119b5d7de4c67836d344aba3aa9cd48bb8bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08605",
    "kind": "arxiv",
    "version": 2
  }
}