Pith Number

pith:DNS5NT6Q

pith:2016:DNS5NT6QVSC7TKGOL6PRWMGPDI

not attested not anchored not stored refs pending

Emergent dynamics of the Cucker-Smale flocking model and its variants

Seung-Yeal Ha, Young-Pil Choi, Zhuchun Li

arxiv:1604.04887 v1 · 2016-04-17 · 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{DNS5NT6QVSC7TKGOL6PRWMGPDI}

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	2026-05-18T01:16:56.476228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b65d6cfd0ac85f9a8ce5f9f1b30cf1a04f35704e128116b6e69b7088bf7c212

Aliases

arxiv: 1604.04887 · arxiv_version: 1604.04887v1 · doi: 10.48550/arxiv.1604.04887 · pith_short_12: DNS5NT6QVSC7 · pith_short_16: DNS5NT6QVSC7TKGO · pith_short_8: DNS5NT6Q

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/DNS5NT6QVSC7TKGOL6PRWMGPDI \
  | 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: 1b65d6cfd0ac85f9a8ce5f9f1b30cf1a04f35704e128116b6e69b7088bf7c212

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc08470f66a5506d036edb3d85e56b9d40777815dd2f9e60a32559891dff74ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-17T15:51:07Z",
    "title_canon_sha256": "0f19c1fbeebda33054b6c1d031c60f7c3f6dc95b37dcf1144d132a5f7179033f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04887",
    "kind": "arxiv",
    "version": 1
  }
}