Pith Number

pith:LKU6BIB5

pith:2014:LKU6BIB5A2M7DQIWJFOP5YK5M4

not attested not anchored not stored refs pending

Local criteria for blowup in two-dimensional chemotaxis models

Grzegorz Karch, Jacek Zienkiewicz, Piotr Biler, Tomasz Cie\'slak

arxiv:1410.7807 v3 · 2014-10-28 · 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{LKU6BIB5A2M7DQIWJFOP5YK5M4}

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	2026-05-18T01:17:44.221220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aa9e0a03d0699f1c116495cfee15d6728f8a309bcb9d06e91a235b9b7df2a66

Aliases

arxiv: 1410.7807 · arxiv_version: 1410.7807v3 · doi: 10.48550/arxiv.1410.7807 · pith_short_12: LKU6BIB5A2M7 · pith_short_16: LKU6BIB5A2M7DQIW · pith_short_8: LKU6BIB5

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/LKU6BIB5A2M7DQIWJFOP5YK5M4 \
  | 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: 5aa9e0a03d0699f1c116495cfee15d6728f8a309bcb9d06e91a235b9b7df2a66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b2e728828567ae483a960182bd8a6cf2e66434a04797f59399c8199106c2dcc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-10-28T20:59:57Z",
    "title_canon_sha256": "8efae784d34a6cee0380bbcbd72308fb503372c3a608bc52f2ac808d68666c4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7807",
    "kind": "arxiv",
    "version": 3
  }
}