Pith Number

pith:I5QM5OJR

pith:2017:I5QM5OJRCE24ZWB4GEVHSP7VGC

not attested not anchored not stored refs pending

On the threshold of spread-out voter model percolation

Bal\'azs R\'ath, Daniel Valesin

arxiv:1705.06244 v2 · 2017-05-17 · 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{I5QM5OJRCE24ZWB4GEVHSP7VGC}

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	2026-05-18T00:33:59.108666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4760ceb9311135ccd83c312a793ff530b55c0c0282aef25046e35f535c23c46b

Aliases

arxiv: 1705.06244 · arxiv_version: 1705.06244v2 · doi: 10.48550/arxiv.1705.06244 · pith_short_12: I5QM5OJRCE24 · pith_short_16: I5QM5OJRCE24ZWB4 · pith_short_8: I5QM5OJR

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/I5QM5OJRCE24ZWB4GEVHSP7VGC \
  | 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: 4760ceb9311135ccd83c312a793ff530b55c0c0282aef25046e35f535c23c46b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33b0ecdabd31d952f43f6789586eb2bb5a04414da58866a88a9039189cf39c87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-05-17T16:22:06Z",
    "title_canon_sha256": "66818669122ecfa066e7225e87d16484e0e2624b77ec7cf2fa7b6d597ce4fa81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06244",
    "kind": "arxiv",
    "version": 2
  }
}