Pith Number

pith:5S2KRCEH

pith:2009:5S2KRCEHWIENQEZMYMRGE2VJ57

not attested not anchored not stored refs pending

A well-posedness theory in measures for some kinetic models of collective motion

Jes\'us Rosado, Jos\'e A. Ca\~nizo, Jos\'e A. Carrillo

arxiv:0907.3901 v2 · 2009-07-22 · 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{5S2KRCEHWIENQEZMYMRGE2VJ57}

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	2026-05-18T04:06:56.949857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecb4a88887b208d8132cc322626aa9efcc7a413ef9a8a9995c5f7d5edfac8079

Aliases

arxiv: 0907.3901 · arxiv_version: 0907.3901v2 · doi: 10.48550/arxiv.0907.3901 · pith_short_12: 5S2KRCEHWIEN · pith_short_16: 5S2KRCEHWIENQEZM · pith_short_8: 5S2KRCEH

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/5S2KRCEHWIENQEZMYMRGE2VJ57 \
  | 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: ecb4a88887b208d8132cc322626aa9efcc7a413ef9a8a9995c5f7d5edfac8079

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82cadeb7e3f669836313e5d22a10b9bb4c1de95337ee134f3ca004f61a95e8be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-07-22T18:23:16Z",
    "title_canon_sha256": "1a66d38e1168364c43eb2d79776d30c1dee15b444870cc5e2ab98ee8c795ccdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3901",
    "kind": "arxiv",
    "version": 2
  }
}