Pith Number

pith:IDCU5QKG

pith:2026:IDCU5QKGFUCBJUFNVVOQOOCDO3

not attested not anchored not stored refs pending

True and Quasi Long-Range Order in Malthusian Flocks

Anna Erzberger, Patrick Jentsch

arxiv:2608.05851 v1 · 2026-08-06 · cond-mat.soft

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IDCU5QKGFUCBJUFNVVOQOOCDO3}

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	2026-08-07T00:52:56.824650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40c54ec1462d0414d0adad5d07384376c8ec289442947ff672aa9c5ff9e50da7

Aliases

arxiv: 2608.05851 · arxiv_version: 2608.05851v1 · doi: 10.48550/arxiv.2608.05851 · pith_short_12: IDCU5QKGFUCB · pith_short_16: IDCU5QKGFUCBJUFN · pith_short_8: IDCU5QKG

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/IDCU5QKGFUCBJUFNVVOQOOCDO3 \
  | 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: 40c54ec1462d0414d0adad5d07384376c8ec289442947ff672aa9c5ff9e50da7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d73b55c43c79e0fa9344a20d7c25f60201e27a5d59e688b759d8b5b73f06979",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2026-08-06T10:24:29Z",
    "title_canon_sha256": "a7c20338d5365030a93ea5947a4d347ac4580c07ab9d04b912d73f4f73622451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05851",
    "kind": "arxiv",
    "version": 1
  }
}