Pith Number

pith:ZNA47BQS

pith:2019:ZNA47BQS3R2IVI342RM7U2WC2V

not attested not anchored not stored refs pending

On Cucker-Smale dynamical systems with degenerate communication

Helge Dietert, Roman Shvydkoy

arxiv:1903.00094 v2 · 2019-02-28 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNA47BQS3R2IVI342RM7U2WC2V}

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	2026-05-17T23:48:39.437639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb41cf8612dc748aa37cd459fa6ac2d56d824c1512c54cfd8fd41ebf216f5510

Aliases

arxiv: 1903.00094 · arxiv_version: 1903.00094v2 · doi: 10.48550/arxiv.1903.00094 · pith_short_12: ZNA47BQS3R2I · pith_short_16: ZNA47BQS3R2IVI34 · pith_short_8: ZNA47BQS

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/ZNA47BQS3R2IVI342RM7U2WC2V \
  | 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: cb41cf8612dc748aa37cd459fa6ac2d56d824c1512c54cfd8fd41ebf216f5510

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09e0c124e5d0890978e6ff478eba7b9a3547f28a99ae49f4b2e475f7e7c0127b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-02-28T22:38:24Z",
    "title_canon_sha256": "7d718cd7578531fed51e629f5bdd35ec924bdd2e5ea5f20efa005588ad442044"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.00094",
    "kind": "arxiv",
    "version": 2
  }
}