Pith Number

pith:XZ4EJJPD

pith:2017:XZ4EJJPDF24P5IYBAUOKB5SDNI

not attested not anchored not stored refs pending

L^$\infty$ estimates for the jko scheme in parabolic-elliptic keller-segel systems

Filippo Santambrogio (LM-Orsay), Jos\'e-Antonio Carrillo

arxiv:1709.04201 v1 · 2017-09-13 · 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{XZ4EJJPDF24P5IYBAUOKB5SDNI}

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	2026-05-18T00:35:15.106932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be7844a5e32eb8fea301051ca0f6436a01d7529d8b38362df9000350e2a9122d

Aliases

arxiv: 1709.04201 · arxiv_version: 1709.04201v1 · doi: 10.48550/arxiv.1709.04201 · pith_short_12: XZ4EJJPDF24P · pith_short_16: XZ4EJJPDF24P5IYB · pith_short_8: XZ4EJJPD

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/XZ4EJJPDF24P5IYBAUOKB5SDNI \
  | 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: be7844a5e32eb8fea301051ca0f6436a01d7529d8b38362df9000350e2a9122d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f71f812ff379bf67f010a8d574b2dd043c4d2d9e8b3bda15c63da011d68f981b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-13T09:09:58Z",
    "title_canon_sha256": "bfe6166738de16ebedee1709bee3a56f1d0b1ec7c62e5cd0beea9b41af263edc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04201",
    "kind": "arxiv",
    "version": 1
  }
}