Pith Number

pith:FS62YFDM

pith:2013:FS62YFDMMIT4IRJBZML67P652V

not attested not anchored not stored refs pending

Hydrodynamics of the Kuramoto-Vicsek model of rotating self-propelled particles

Giacomo Dimarco (IMT), Pierre Degond (IMT), Thi Bich Ngoc Mac (IMT)

arxiv:1306.3372 v1 · 2013-06-14 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FS62YFDMMIT4IRJBZML67P652V}

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	2026-05-18T03:20:57.794873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cbdac146c6227c44521cb17efbfddd5725e21731acf1da520948f5db9f7ded1

Aliases

arxiv: 1306.3372 · arxiv_version: 1306.3372v1 · doi: 10.48550/arxiv.1306.3372 · pith_short_12: FS62YFDMMIT4 · pith_short_16: FS62YFDMMIT4IRJB · pith_short_8: FS62YFDM

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/FS62YFDMMIT4IRJBZML67P652V \
  | 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: 2cbdac146c6227c44521cb17efbfddd5725e21731acf1da520948f5db9f7ded1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b20203a0cf38c3cafce3a82c54ba4bc2f9c6a2f169354e948b8e4ead84a922f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-06-14T11:59:10Z",
    "title_canon_sha256": "b891e2e09552e9450f756983ff73084609b7b79c1dc0619b6eeb132473595653"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3372",
    "kind": "arxiv",
    "version": 1
  }
}