Pith Number

pith:KOMP7QHQ

pith:2016:KOMP7QHQKQ3GAIQF2L3HGZIKXS

not attested not anchored not stored refs pending

Global classical solutions, stability of constant equilibria, and spreading speeds in attraction-repulsion chemotaxis systems with logistic source on $\mathbb{R}^{N}$

Rachidi B. Salako, Wenxian Shen

arxiv:1612.00924 v3 · 2016-12-03 · 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{KOMP7QHQKQ3GAIQF2L3HGZIKXS}

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	2026-05-18T00:41:53.316103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5398ffc0f05436602205d2f673650abca4ea0a9ba2ab3f5e00f692a5600804bd

Aliases

arxiv: 1612.00924 · arxiv_version: 1612.00924v3 · doi: 10.48550/arxiv.1612.00924 · pith_short_12: KOMP7QHQKQ3G · pith_short_16: KOMP7QHQKQ3GAIQF · pith_short_8: KOMP7QHQ

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/KOMP7QHQKQ3GAIQF2L3HGZIKXS \
  | 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: 5398ffc0f05436602205d2f673650abca4ea0a9ba2ab3f5e00f692a5600804bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e60d277705785d570d410978fe42e233675f1a6e1bda78cef0676b791072b24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-03T05:01:01Z",
    "title_canon_sha256": "f052c6880a3d88f074ecbe519d010d222140dc5a0353a3fd3dc190503170abe2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00924",
    "kind": "arxiv",
    "version": 3
  }
}