Pith Number

pith:ZH6QGPYN

pith:2026:ZH6QGPYNOBJK5FDI5QMHAJ7ZNZ

not attested not anchored not stored refs pending

Stability of the critical constant steady state of a Keller--Segel model

Hiroshi Wakui, Nobuhito Miyake, Tetsuya Yamada

arxiv:2606.12227 v1 · 2026-06-10 · 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{ZH6QGPYNOBJK5FDI5QMHAJ7ZNZ}

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	2026-06-11T01:10:55.533817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9fd033f0d7052ae9468ec187027f96e6cca823374a77a50f99cb2fca04f3757

Aliases

arxiv: 2606.12227 · arxiv_version: 2606.12227v1 · doi: 10.48550/arxiv.2606.12227 · pith_short_12: ZH6QGPYNOBJK · pith_short_16: ZH6QGPYNOBJK5FDI · pith_short_8: ZH6QGPYN

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/ZH6QGPYNOBJK5FDI5QMHAJ7ZNZ \
  | 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: c9fd033f0d7052ae9468ec187027f96e6cca823374a77a50f99cb2fca04f3757

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64d928ee141259722f2f3bed63344820204002626081625fbbd477861ba8b764",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-10T15:38:04Z",
    "title_canon_sha256": "e183b37cdbeb2259830c73843f48ef2282eb795e8cdc7a8f53c4c51d049cd755"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12227",
    "kind": "arxiv",
    "version": 1
  }
}