Pith Number

pith:ZLMBZFBX

pith:2016:ZLMBZFBXSGCECKDIEZH5HAUQQY

not attested not anchored not stored refs pending

Interacting opinion and disease dynamics in multiplex networks: discontinuous phase transition and non-monotonic consensus times

F\'atima Vel\'asquez Rojas, Federico Vazquez

arxiv:1612.01003 v2 · 2016-12-03 · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLMBZFBXSGCECKDIEZH5HAUQQY}

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	2026-05-18T00:43:29.700285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cad81c94379184412868264fd38290860626bb893c798dabfb315ce895a48f9c

Aliases

arxiv: 1612.01003 · arxiv_version: 1612.01003v2 · doi: 10.48550/arxiv.1612.01003 · pith_short_12: ZLMBZFBXSGCE · pith_short_16: ZLMBZFBXSGCECKDI · pith_short_8: ZLMBZFBX

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/ZLMBZFBXSGCECKDIEZH5HAUQQY \
  | 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: cad81c94379184412868264fd38290860626bb893c798dabfb315ce895a48f9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfe7d5e260d7ff216245ea1e60936ea0c4a17fe5f99761282aa8c89743b42b79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2016-12-03T18:39:45Z",
    "title_canon_sha256": "4804c72c9c3a40fa5cf879cce4b1c4905f258f83ce7393ce7c8581a6a5c1f661"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01003",
    "kind": "arxiv",
    "version": 2
  }
}