Pith Number

pith:ZMCU25ND

pith:2017:ZMCU25ND4E6UIKYLKH4HYY73YW

not attested not anchored not stored refs pending

Propagation of chaos for some 2 dimensional fractional Keller Segel equations in diffusion dominated and fair competition cases

Samir Salem

arxiv:1712.06677 v2 · 2017-12-18 · 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{ZMCU25ND4E6UIKYLKH4HYY73YW}

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	2026-05-18T00:11:00.094234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb054d75a3e13d442b0b51f87c63fbc595486301fe026ebc7be0e4fe160010f1

Aliases

arxiv: 1712.06677 · arxiv_version: 1712.06677v2 · doi: 10.48550/arxiv.1712.06677 · pith_short_12: ZMCU25ND4E6U · pith_short_16: ZMCU25ND4E6UIKYL · pith_short_8: ZMCU25ND

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/ZMCU25ND4E6UIKYLKH4HYY73YW \
  | 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: cb054d75a3e13d442b0b51f87c63fbc595486301fe026ebc7be0e4fe160010f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d2daa6e821649cc32b2552696be33ce859499640db24134f1eab0f2075b9857",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-18T21:15:44Z",
    "title_canon_sha256": "c941d7f0fcd3e2277f6c79621ff83ecf7fa9dffabd0309e633bc2970fd7b9915"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06677",
    "kind": "arxiv",
    "version": 2
  }
}