Pith Number

pith:OBUV7JFR

pith:2017:OBUV7JFRIP7KMTFLZQIEGZVZSS

not attested not anchored not stored refs pending

The critical threshold for Bargmann-Fock percolation

Alejandro Rivera (IF), Hugo Vanneuville (ICJ, PSPM)

arxiv:1711.05012 v3 · 2017-11-14 · 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{OBUV7JFRIP7KMTFLZQIEGZVZSS}

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	2026-05-17T23:45:00.007922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70695fa4b143fea64cabcc104366b994b8ff2cdbb04d953fef2e7ad7e1fe6ffe

Aliases

arxiv: 1711.05012 · arxiv_version: 1711.05012v3 · doi: 10.48550/arxiv.1711.05012 · pith_short_12: OBUV7JFRIP7K · pith_short_16: OBUV7JFRIP7KMTFL · pith_short_8: OBUV7JFR

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/OBUV7JFRIP7KMTFLZQIEGZVZSS \
  | 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: 70695fa4b143fea64cabcc104366b994b8ff2cdbb04d953fef2e7ad7e1fe6ffe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b46441c9eb5ae66dce364cf9c3f7f5e57f794881191d6afbbca3c21c8f647584",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-11-14T09:26:30Z",
    "title_canon_sha256": "46de9bed754a185efdb94cfdc59af5128f8688d2c51a5886b411a47e917e9294"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05012",
    "kind": "arxiv",
    "version": 3
  }
}