Pith Number

pith:MJ3F2D4O

pith:2026:MJ3F2D4OUBQUVLWY6ZNXAGSBNF

not attested not anchored not stored refs pending

Equilibrium and dynamics of a three-state opinion model on a network of networks

Albert D\'iaz-Guilera, Hiroki Sayama, Irene Ferri

arxiv:2605.20979 v1 · 2026-05-20 · 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{MJ3F2D4OUBQUVLWY6ZNXAGSBNF}

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	2026-05-21T01:05:30.829520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62765d0f8ea0614aaed8f65b701a4169742e786f40e0d7a6b5baa58987dbb3a8

Aliases

arxiv: 2605.20979 · arxiv_version: 2605.20979v1 · doi: 10.48550/arxiv.2605.20979 · pith_short_12: MJ3F2D4OUBQU · pith_short_16: MJ3F2D4OUBQUVLWY · pith_short_8: MJ3F2D4O

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/MJ3F2D4OUBQUVLWY6ZNXAGSBNF \
  | 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: 62765d0f8ea0614aaed8f65b701a4169742e786f40e0d7a6b5baa58987dbb3a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e35e7c7de470490903bb0acb1e303e96851e7856f82b59e651a7b19fa71fe40a",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-05-20T10:09:05Z",
    "title_canon_sha256": "190938c5bb3863c5d5a61b21fed0d8c2e5e96e55fc93637ff857ae01b832fefd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20979",
    "kind": "arxiv",
    "version": 1
  }
}