Pith Number

pith:RXBVY3QH

pith:2018:RXBVY3QHNNL74MGM4FSYAVT3DT

not attested not anchored not stored refs pending

Emergent behaviors of the Cucker-Smale ensemble under attractive-repulsive couplings and Rayleigh frictions

Di Fang, Seung-Yeal Ha, Shi Jin

arxiv:1808.03980 v1 · 2018-08-12 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RXBVY3QHNNL74MGM4FSYAVT3DT}

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	2026-07-05T03:19:37.531679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dc35c6e076b57fe30cce16580567b1cea3e6a321c7b8a11f1c6ac6450499717

Aliases

arxiv: 1808.03980 · arxiv_version: 1808.03980v1 · doi: 10.48550/arxiv.1808.03980 · pith_short_12: RXBVY3QHNNL7 · pith_short_16: RXBVY3QHNNL74MGM · pith_short_8: RXBVY3QH

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/RXBVY3QHNNL74MGM4FSYAVT3DT \
  | 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: 8dc35c6e076b57fe30cce16580567b1cea3e6a321c7b8a11f1c6ac6450499717

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e96c20fe9fc99add0d7266e8d49048475bb573840d55aff0275340716e27fda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-08-12T18:26:54Z",
    "title_canon_sha256": "86e3162bd9809dc26cac3caf5a9cc8b7041e74593940b9b21e723677bafe1d85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03980",
    "kind": "arxiv",
    "version": 1
  }
}