Pith Number

pith:TJA4UBB3

pith:2025:TJA4UBB3FZ36L57BWYS4YLQX5W

not attested not anchored not stored refs pending

Spontaneous Symmetry Breaking, Group Decision Making and Beyond 2. Distorted Polarization and Vulnerability

Serge Galam

arxiv:2509.06649 v1 · 2025-09-08 · 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{TJA4UBB3FZ36L57BWYS4YLQX5W}

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	2026-07-05T12:06:39.644785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a41ca043b2e77e5f7e1b625cc2e17ed99ccef0a6e198713cc29953f6987d88b

Aliases

arxiv: 2509.06649 · arxiv_version: 2509.06649v1 · doi: 10.48550/arxiv.2509.06649 · pith_short_12: TJA4UBB3FZ36 · pith_short_16: TJA4UBB3FZ36L57B · pith_short_8: TJA4UBB3

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/TJA4UBB3FZ36L57BWYS4YLQX5W \
  | 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: 9a41ca043b2e77e5f7e1b625cc2e17ed99ccef0a6e198713cc29953f6987d88b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e55dd3e350ecc04e9b5e0fcad0f0cef496ef9d1de695a5920e02261f56e42ce",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2025-09-08T13:03:59Z",
    "title_canon_sha256": "f8fa7bc222d8f6cfd98513cdb5f3b634dc70b66d822ab433e3d4478125653ecd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.06649",
    "kind": "arxiv",
    "version": 1
  }
}