Pith Number

pith:PBK4IFAP

pith:2016:PBK4IFAPAEEBVM6354YGIIH55V

not attested not anchored not stored refs pending

On the weakly competitive case in a two-species chemotaxis model

Johannes Lankeit, Masaaki Mizukami, Tobias Black

arxiv:1604.03529 v1 · 2016-04-12 · 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{PBK4IFAPAEEBVM6354YGIIH55V}

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	2026-05-18T01:17:13.243755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7855c4140f01081ab3dbef306420fded626b697d9f964b20aa000f4be8b47283

Aliases

arxiv: 1604.03529 · arxiv_version: 1604.03529v1 · doi: 10.48550/arxiv.1604.03529 · pith_short_12: PBK4IFAPAEEB · pith_short_16: PBK4IFAPAEEBVM63 · pith_short_8: PBK4IFAP

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/PBK4IFAPAEEBVM6354YGIIH55V \
  | 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: 7855c4140f01081ab3dbef306420fded626b697d9f964b20aa000f4be8b47283

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce6475b6ff6755f8f3ffe0792e2f5a995f539bc217de55f360cbff2bc76130d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-12T19:11:42Z",
    "title_canon_sha256": "6dec0ee1c637b9659c0b1bf0d2c9e2e45e14856d2694194ab5c493594e91a01a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03529",
    "kind": "arxiv",
    "version": 1
  }
}