Pith Number

pith:VOV6WCFH

pith:2018:VOV6WCFHCEYWPS4VYEYZB5J67L

not attested not anchored not stored refs pending

Supercritical degenerate parabolic-parabolic Keller-Segel system -- existence criterion given by the best constant in Sobolev's inequality

Jinhuan Wang, Li Chen, Yue Li

arxiv:1801.03475 v1 · 2018-01-10 · 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{VOV6WCFHCEYWPS4VYEYZB5J67L}

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	2026-05-17T23:47:31.580612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ababeb08a7113167cb95c13190f53efaff157fb3cd8a04eaa009c3382d349916

Aliases

arxiv: 1801.03475 · arxiv_version: 1801.03475v1 · doi: 10.48550/arxiv.1801.03475 · pith_short_12: VOV6WCFHCEYW · pith_short_16: VOV6WCFHCEYWPS4V · pith_short_8: VOV6WCFH

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/VOV6WCFHCEYWPS4VYEYZB5J67L \
  | 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: ababeb08a7113167cb95c13190f53efaff157fb3cd8a04eaa009c3382d349916

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8cc376d037414049474257baf27fa5c998cd94db4d3c81deadb82d6579ca60d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-01-10T17:43:41Z",
    "title_canon_sha256": "e388899c5ab3829eb48e40efc25a2d3f78129863b1a054a03a77ff9cf51e48b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03475",
    "kind": "arxiv",
    "version": 1
  }
}