Pith Number

pith:7VZHDYW6

pith:2012:7VZHDYW62NHVHGQNC7YU6ACNW4

not attested not anchored not stored refs pending

Hydrodynamic limit of the kinetic Cucker-Smale flocking model

Antoine Mellet, Konstantina Trivisa, Trygve Karper

arxiv:1205.6831 v1 · 2012-05-30 · 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{7VZHDYW62NHVHGQNC7YU6ACNW4}

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	2026-05-18T03:54:36.800882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd7271e2ded34f539a0d17f14f004db734a3f0ac5581c9f71cee50ebd342d4b5

Aliases

arxiv: 1205.6831 · arxiv_version: 1205.6831v1 · doi: 10.48550/arxiv.1205.6831 · pith_short_12: 7VZHDYW62NHV · pith_short_16: 7VZHDYW62NHVHGQN · pith_short_8: 7VZHDYW6

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/7VZHDYW62NHVHGQNC7YU6ACNW4 \
  | 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: fd7271e2ded34f539a0d17f14f004db734a3f0ac5581c9f71cee50ebd342d4b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1f5d04386527e3e5bf6d0eb5426ece38790fb796949625fd99aa38f6db6e236",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-30T21:03:34Z",
    "title_canon_sha256": "176db632f0b64ca7fd11e1f6a5009e197976d1bdce8f6297d027e52095be7d6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6831",
    "kind": "arxiv",
    "version": 1
  }
}