Pith Number

pith:NV2UA3BY

pith:2025:NV2UA3BY7A37YI7CI5FFCDKHD6

not attested not anchored not stored refs pending

Finite time blowup for Keller-Segel equation with logistic damping in three dimensions

Jiaqi Liu, Tao Zhou, Yixuan Wang

arxiv:2504.12231 v2 · 2025-04-16 · 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{NV2UA3BY7A37YI7CI5FFCDKHD6}

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

2 papers in Pith

Gradient blowup of smooth vacuum solutions to 1D compressible Euler equations

Singularity Formation: Synergy in Theoretical, Numerical and Machine Learning Approaches

Receipt and verification

First computed	2026-07-05T11:46:21.823913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d75406c38f837fc23e2474a510d471f88d84e65e63b976a72a69a4b367e806a

Aliases

arxiv: 2504.12231 · arxiv_version: 2504.12231v2 · doi: 10.48550/arxiv.2504.12231 · pith_short_12: NV2UA3BY7A37 · pith_short_16: NV2UA3BY7A37YI7C · pith_short_8: NV2UA3BY

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/NV2UA3BY7A37YI7CI5FFCDKHD6 \
  | 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: 6d75406c38f837fc23e2474a510d471f88d84e65e63b976a72a69a4b367e806a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abbfdbf649d87dc6e732c7f63ba32c82e6d4c594f9c297f188e376e295656a95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-04-16T16:30:13Z",
    "title_canon_sha256": "49b42c9ab18777da54f31b3926fb547edc147e92555f426675d31145fac019ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.12231",
    "kind": "arxiv",
    "version": 2
  }
}