Pith Number

pith:WDTJ6ATA

pith:2014:WDTJ6ATAR2H7HRRDH5O67DFEJR

not attested not anchored not stored refs pending

Phase transition of the contact process on random regular graphs

Daniel Valesin, Jean-Christophe Mourrat

arxiv:1405.0865 v1 · 2014-05-05 · 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{WDTJ6ATAR2H7HRRDH5O67DFEJR}

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	2026-05-18T02:52:40.522356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0e69f02608e8ff3c6233f5def8ca44c4adcb69f7ea037c075211e80d9b8f999

Aliases

arxiv: 1405.0865 · arxiv_version: 1405.0865v1 · doi: 10.48550/arxiv.1405.0865 · pith_short_12: WDTJ6ATAR2H7 · pith_short_16: WDTJ6ATAR2H7HRRD · pith_short_8: WDTJ6ATA

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/WDTJ6ATAR2H7HRRDH5O67DFEJR \
  | 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: b0e69f02608e8ff3c6233f5def8ca44c4adcb69f7ea037c075211e80d9b8f999

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff4f2310c3eb53f253e49064c02e650afceb5f81269846b080822cb2dac03a12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-05T11:56:40Z",
    "title_canon_sha256": "5e86032b37c4d3521094cf38ec25bda70490710ca4ac56aba5a30e7ddd3f0038"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0865",
    "kind": "arxiv",
    "version": 1
  }
}