Pith Number

pith:TSDV4EHE

pith:2023:TSDV4EHE3ZCDEVE2GDLBC4LGZG

not attested not anchored not stored refs pending

From Kinetic Flocking Model of Cucker-Smale Type to Self-Organized Hydrodynamic model

Ning Jiang, Teng-Fei Zhang, Yi-Long Luo

arxiv:2302.05700 v1 · 2023-02-11 · 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{TSDV4EHE3ZCDEVE2GDLBC4LGZG}

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	2026-07-05T11:57:51.685781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c875e10e4de4432549a30d6117166c9a3731725f3d386e8220eeeefc117ec84

Aliases

arxiv: 2302.05700 · arxiv_version: 2302.05700v1 · doi: 10.48550/arxiv.2302.05700 · pith_short_12: TSDV4EHE3ZCD · pith_short_16: TSDV4EHE3ZCDEVE2 · pith_short_8: TSDV4EHE

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/TSDV4EHE3ZCDEVE2GDLBC4LGZG \
  | 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: 9c875e10e4de4432549a30d6117166c9a3731725f3d386e8220eeeefc117ec84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "619ffcffcfee02eb092dc45c3838807551a4044aa3830395456b3044584e957d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-02-11T14:27:51Z",
    "title_canon_sha256": "9b5920eb8e4d99c9da53e128be1a56d319747296054e2d275965f4d15c9ec767"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.05700",
    "kind": "arxiv",
    "version": 1
  }
}