Pith Number

pith:5GAKL6I4

pith:2025:5GAKL6I4XHAWP5UBVHK6JZBR7V

not attested not anchored not stored refs pending

Long-range dispersal promotes spatial synchrony but reduces the length and time scales of synchronous fluctuations

Alan Hastings, Davi Arrais Nobre, Jonathan Machta, Karen C. Abbott

arxiv:2506.08304 v1 · 2025-06-10 · q-bio.PE · 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{5GAKL6I4XHAWP5UBVHK6JZBR7V}

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	2026-07-05T11:18:47.788027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e980a5f91cb9c167f681a9d5e4e431fd7378447003e647610719615bf2498368

Aliases

arxiv: 2506.08304 · arxiv_version: 2506.08304v1 · doi: 10.48550/arxiv.2506.08304 · pith_short_12: 5GAKL6I4XHAW · pith_short_16: 5GAKL6I4XHAWP5UB · pith_short_8: 5GAKL6I4

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/5GAKL6I4XHAWP5UBVHK6JZBR7V \
  | 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: e980a5f91cb9c167f681a9d5e4e431fd7378447003e647610719615bf2498368

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f77a4a83fb1cddb0978bf3fff25d0f8ea8a60462aa8995aea6163f2f32c109f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2025-06-10T00:27:39Z",
    "title_canon_sha256": "e145d5e777c886ddc64261ece12ee9e27f56e85ab02c794d1a07af98427bdd2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08304",
    "kind": "arxiv",
    "version": 1
  }
}