Pith Number

pith:ZR7MDPCM

pith:2026:ZR7MDPCMUOY7ORX4LEHQRXTFY5

not attested not anchored not stored refs pending

Preventing $L^p$ blow-up by local anisotropy of signal production in the Keller-Segel system with strongly differing diffusion rates

Michael Winkler, Youshan Tao

arxiv:2606.06009 v1 · 2026-06-04 · 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{ZR7MDPCMUOY7ORX4LEHQRXTFY5}

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	2026-06-05T01:15:30.246216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc7ec1bc4ca3b1f746fc590f08de65c7670afd487df324f2c9fa82641bd944fe

Aliases

arxiv: 2606.06009 · arxiv_version: 2606.06009v1 · doi: 10.48550/arxiv.2606.06009 · pith_short_12: ZR7MDPCMUOY7 · pith_short_16: ZR7MDPCMUOY7ORX4 · pith_short_8: ZR7MDPCM

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/ZR7MDPCMUOY7ORX4LEHQRXTFY5 \
  | 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: cc7ec1bc4ca3b1f746fc590f08de65c7670afd487df324f2c9fa82641bd944fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00da9c09841f62feec03b95fd21d9e665ffc302e73ece4ab6b703a36c44c41f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-04T10:59:51Z",
    "title_canon_sha256": "91250c28e335bf035b0a6ec35c58d7d78044889e2c9d69096d9d53d6a2a08bad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06009",
    "kind": "arxiv",
    "version": 1
  }
}