Pith Number

pith:462CAXZP

pith:2017:462CAXZPMHCRMWFP4G73XFUL6Q

not attested not anchored not stored refs pending

Parabolic-elliptic chemotaxis model with space-time dependent logistic sources on $\mathbb{R}^N$. I. Persistence and asymptotic spreading

Rachidi B. Salako, Wenxian Shen

arxiv:1709.05785 v3 · 2017-09-18 · 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{462CAXZPMHCRMWFP4G73XFUL6Q}

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	2026-05-18T00:19:03.560803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7b4205f2f61c51658afe1bfbb968bf418f11413303c6b82b1b025dffa3baee5

Aliases

arxiv: 1709.05785 · arxiv_version: 1709.05785v3 · doi: 10.48550/arxiv.1709.05785 · pith_short_12: 462CAXZPMHCR · pith_short_16: 462CAXZPMHCRMWFP · pith_short_8: 462CAXZP

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/462CAXZPMHCRMWFP4G73XFUL6Q \
  | 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: e7b4205f2f61c51658afe1bfbb968bf418f11413303c6b82b1b025dffa3baee5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed855760f8ad536b3b3cede570e735a881d002b7cc10c9b11ebd2f977941ce62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-18T06:23:34Z",
    "title_canon_sha256": "8c1789a68583400f3588eddd8780b76ca9b956fb895af700a6787a30f99411ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05785",
    "kind": "arxiv",
    "version": 3
  }
}