Pith Number

pith:YPIWYYCD

pith:2019:YPIWYYCDYLNMXEOHRGTJ7VESKD

not attested not anchored not stored refs pending

Spontaneous symmetry breaking and discontinuous phase transition for spreading dynamics in multiplex networks

Chuang Ma, Haifeng Zhang, Hanshuang Chen, Ningbo An

arxiv:1907.13364 v1 · 2019-07-31 · physics.soc-ph · cond-mat.stat-mech

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPIWYYCDYLNMXEOHRGTJ7VESKD}

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	2026-07-04T23:50:49.131558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3d16c6043c2dacb91c789a69fd49250df32004d318f4fcd0526bd463bcd6cd8

Aliases

arxiv: 1907.13364 · arxiv_version: 1907.13364v1 · doi: 10.48550/arxiv.1907.13364 · pith_short_12: YPIWYYCDYLNM · pith_short_16: YPIWYYCDYLNMXEOH · pith_short_8: YPIWYYCD

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/YPIWYYCDYLNMXEOHRGTJ7VESKD \
  | 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: c3d16c6043c2dacb91c789a69fd49250df32004d318f4fcd0526bd463bcd6cd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b3836c2adfc498b8e6c5b8c43cc6b1a4faf7e3fcf48b8be5487f01e46f72667",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2019-07-31T08:43:48Z",
    "title_canon_sha256": "1586d73b0d847b54580c5c2cf0767b0f93784944995f2171094936ccdd159c44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.13364",
    "kind": "arxiv",
    "version": 1
  }
}