Pith Number

pith:Q4VYVKBP

pith:2015:Q4VYVKBPG7LLBPB6UPLGPQUEQO

not attested not anchored not stored refs pending

Phase transitions in Delaunay Potts models

Michael Eyers, Stefan Adams

arxiv:1504.02769 v2 · 2015-04-10 · 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{Q4VYVKBPG7LLBPB6UPLGPQUEQO}

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	2026-05-18T01:21:55.601081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

872b8aa82f37d6b0bc3ea3d667c28483828b8d4a86b7763bf497b4e09229ec9e

Aliases

arxiv: 1504.02769 · arxiv_version: 1504.02769v2 · doi: 10.48550/arxiv.1504.02769 · pith_short_12: Q4VYVKBPG7LL · pith_short_16: Q4VYVKBPG7LLBPB6 · pith_short_8: Q4VYVKBP

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/Q4VYVKBPG7LLBPB6UPLGPQUEQO \
  | 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: 872b8aa82f37d6b0bc3ea3d667c28483828b8d4a86b7763bf497b4e09229ec9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c682eefdd73d69c83ff4968e25044eb0d590c5f16a2b09aafe5a36a24708795",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-10T19:48:00Z",
    "title_canon_sha256": "27557c5bfe3934aa36f52f3265b883f7aef476b95838846ea50d213dab3ec7b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02769",
    "kind": "arxiv",
    "version": 2
  }
}