Pith Number

pith:6VY5XT73

pith:2025:6VY5XT73PXOY5MOKLTKWN2RLB5

not attested not anchored not stored refs pending

Axisymmetric type II blowup solutions to the three dimensional Keller-Segel system

Peicong Song, Thomas Y. Hou, Van Tien Nguyen

arxiv:2502.19775 v2 · 2025-02-27 · math.AP · math-ph · math.FA · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6VY5XT73PXOY5MOKLTKWN2RLB5}

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

Finite-time blow-up for the three dimensional axially symmetric Keller-Segel system

Receipt and verification

First computed	2026-07-05T10:21:52.385446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f571dbcffb7ddd8eb1ca5cd566ea2b0f400dd55eb1eb5cf4df53eeeb896ed28d

Aliases

arxiv: 2502.19775 · arxiv_version: 2502.19775v2 · doi: 10.48550/arxiv.2502.19775 · pith_short_12: 6VY5XT73PXOY · pith_short_16: 6VY5XT73PXOY5MOK · pith_short_8: 6VY5XT73

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/6VY5XT73PXOY5MOKLTKWN2RLB5 \
  | 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: f571dbcffb7ddd8eb1ca5cd566ea2b0f400dd55eb1eb5cf4df53eeeb896ed28d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d73dcb0daef893aee05c392c270b575af2a7a20746610ed3d1ad6a0e2b62e564",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-02-27T05:24:18Z",
    "title_canon_sha256": "0de29999c4d98e009a9fcecaa8461ee4377054c74e740341cfd003e80905e539"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.19775",
    "kind": "arxiv",
    "version": 2
  }
}