Pith Number

pith:JW27EGWQ

pith:2019:JW27EGWQIP453BEEGLG7JXW5BL

not attested not anchored not stored refs pending

Fluid models with phase transition for kinetic equations in swarming

Jos\'e Antonio Carrillo, Miha\"i Bostan

arxiv:1912.00267 v1 · 2019-11-30 · 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{JW27EGWQIP453BEEGLG7JXW5BL}

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	2026-07-05T00:23:11.480331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4db5f21ad043f9dd848432cdf4dedd0ac62790549e07258ba2cb002a43ea34a2

Aliases

arxiv: 1912.00267 · arxiv_version: 1912.00267v1 · doi: 10.48550/arxiv.1912.00267 · pith_short_12: JW27EGWQIP45 · pith_short_16: JW27EGWQIP453BEE · pith_short_8: JW27EGWQ

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/JW27EGWQIP453BEEGLG7JXW5BL \
  | 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: 4db5f21ad043f9dd848432cdf4dedd0ac62790549e07258ba2cb002a43ea34a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "501382f2b03edba2de5a12393cf0fad0e22ba560dcf95c591dbe2d2260c20e3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-11-30T21:40:40Z",
    "title_canon_sha256": "48d54d21710e46c6dd94420ca26a2211822f3ba32a93f1a1aaf023df5d489f4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.00267",
    "kind": "arxiv",
    "version": 1
  }
}