Pith Number

pith:DHDFQSEM

pith:2019:DHDFQSEMD4CNJD4QTM542FA6YA

not attested not anchored not stored refs pending

On Mean Field Limit and Quantitative Estimates with a Large Class of Singular Kernels: Application to the Patlak-Keller-Segel Model

Didier Bresch, Pierre-Emmanuel Jabin, Zhenfu Wang

arxiv:1906.04093 v1 · 2019-06-10 · math.AP · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DHDFQSEMD4CNJD4QTM542FA6YA}

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	2026-05-17T23:43:43.906289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19c658488c1f04d48f909b3bcd141ec0381a37b3eec9ed2c28bd3cd7f6a86c8a

Aliases

arxiv: 1906.04093 · arxiv_version: 1906.04093v1 · doi: 10.48550/arxiv.1906.04093 · pith_short_12: DHDFQSEMD4CN · pith_short_16: DHDFQSEMD4CNJD4Q · pith_short_8: DHDFQSEM

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/DHDFQSEMD4CNJD4QTM542FA6YA \
  | 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: 19c658488c1f04d48f909b3bcd141ec0381a37b3eec9ed2c28bd3cd7f6a86c8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0307a3d00144a062013493ea9ba694752f80ec001a05a96e69abc54485ba9515",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-10T16:13:53Z",
    "title_canon_sha256": "aff65e2ca5e5a4e8c94c949b986d17f732b42cb114efb09b63a38a79c670bcf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.04093",
    "kind": "arxiv",
    "version": 1
  }
}