Pith Number

pith:IBOO6VMP

pith:2017:IBOO6VMPSDND6VRBA52WXECHAP

not attested not anchored not stored refs pending

An interpolation inequality and its application in Keller-Segel model

Xinru Cao

arxiv:1707.09235 v2 · 2017-07-28 · 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{IBOO6VMPSDND6VRBA52WXECHAP}

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.

Cited by

1 paper in Pith

Refined temporal asymptotics near blow-up points in the planar Keller-Segel system

Receipt and verification

First computed	2026-05-18T00:13:37.732300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

405cef558f90da3f562107756b904703d150944b633626b3d05f07c67aa0a9e6

Aliases

arxiv: 1707.09235 · arxiv_version: 1707.09235v2 · doi: 10.48550/arxiv.1707.09235 · pith_short_12: IBOO6VMPSDND · pith_short_16: IBOO6VMPSDND6VRB · pith_short_8: IBOO6VMP

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/IBOO6VMPSDND6VRBA52WXECHAP \
  | 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: 405cef558f90da3f562107756b904703d150944b633626b3d05f07c67aa0a9e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f74bd641159805196f5087390f2d8b47997d5d72cf4a35765c18fc12377c267",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-28T13:58:45Z",
    "title_canon_sha256": "1f7e57ce60b529bf4f5bf67154abd8f567db39d94bea1841fbbb843c37c4f8ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09235",
    "kind": "arxiv",
    "version": 2
  }
}