Pith Number

pith:6PGKUKCK

pith:2026:6PGKUKCK6SKLEY3YJTOW35XEPR

not attested not anchored not stored refs pending

Swarming and Opinion Dynamics

Dibakar Ghosh, Rommel Tchinda Djeudjo, Timoteo Carletti

arxiv:2607.12844 v1 · 2026-07-14 · nlin.AO · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PGKUKCK6SKLEY3YJTOW35XEPR}

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	2026-07-15T01:22:21.444347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3ccaa284af494b263784cdd6df6e47c483ce787a7bb3b54585d3e95c565e4b6

Aliases

arxiv: 2607.12844 · arxiv_version: 2607.12844v1 · doi: 10.48550/arxiv.2607.12844 · pith_short_12: 6PGKUKCK6SKL · pith_short_16: 6PGKUKCK6SKLEY3Y · pith_short_8: 6PGKUKCK

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/6PGKUKCK6SKLEY3YJTOW35XEPR \
  | 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: f3ccaa284af494b263784cdd6df6e47c483ce787a7bb3b54585d3e95c565e4b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "225cd8e010b189ffdddb7c1d4537dfb4892565249d9599376ac0a8a56dbd9cd2",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2026-07-14T14:59:25Z",
    "title_canon_sha256": "a8ed9630265c6f4bc784df12c9dad6dc05ca023ddd2e31cd721be486d84bd498"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12844",
    "kind": "arxiv",
    "version": 1
  }
}