Pith Number

pith:K4DHMUNL

pith:2014:K4DHMUNLAT747KJ3QKYE2YGHW2

not attested not anchored not stored refs pending

A hybrid variational principle for the Keller-Segel system in $\mathbb R^2$

Adrien Blanchet (GREMAQ), David Kinderlehrer, Jos\'e A. Carrillo, Michal Kowalczyk (DIM), Philippe Lauren\c{c}ot (IMT), Stefano Lisini

arxiv:1407.5562 v1 · 2014-07-21 · 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{K4DHMUNLAT747KJ3QKYE2YGHW2}

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	2026-05-18T02:47:13.737863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57067651ab04ffcfa93b82b04d60c7b699be20de53a0cfca1810e4a39b29d318

Aliases

arxiv: 1407.5562 · arxiv_version: 1407.5562v1 · doi: 10.48550/arxiv.1407.5562 · pith_short_12: K4DHMUNLAT74 · pith_short_16: K4DHMUNLAT747KJ3 · pith_short_8: K4DHMUNL

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/K4DHMUNLAT747KJ3QKYE2YGHW2 \
  | 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: 57067651ab04ffcfa93b82b04d60c7b699be20de53a0cfca1810e4a39b29d318

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72e0633410a466a93c06292c4fb8ea32cff8d38439372208922b1978fc656e2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-21T16:45:27Z",
    "title_canon_sha256": "4b7e761d9f48321c9f6d26626ede2d246ecdbba94cb5e274ef30166999ad0914"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5562",
    "kind": "arxiv",
    "version": 1
  }
}