Pith Number

pith:WUBH4Q6I

pith:2017:WUBH4Q6IAMWXGOOFJGFXXMBQ4Y

not attested not anchored not stored refs pending

Global existence for an attraction-repulsion chemotaxis fluid model with logistic source

Abelardo Duarte-Rodr\'iguez, \'Elder J. Villamizar-Roa, Lucas C. F. Ferreira

arxiv:1709.04032 v1 · 2017-09-12 · 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{WUBH4Q6IAMWXGOOFJGFXXMBQ4Y}

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	2026-05-18T00:35:15.659325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5027e43c8032d7339c5498b7bb030e602480a6271a6e290bee25b31e899d746

Aliases

arxiv: 1709.04032 · arxiv_version: 1709.04032v1 · doi: 10.48550/arxiv.1709.04032 · pith_short_12: WUBH4Q6IAMWX · pith_short_16: WUBH4Q6IAMWXGOOF · pith_short_8: WUBH4Q6I

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/WUBH4Q6IAMWXGOOFJGFXXMBQ4Y \
  | 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: b5027e43c8032d7339c5498b7bb030e602480a6271a6e290bee25b31e899d746

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dceb9d7c15d9311a489d866506efc3d2eebe373493e5c303c2da60d711c9b6a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-12T19:25:22Z",
    "title_canon_sha256": "48c2478e2798783693bf757176a4c410675a96dc5936fd312d0248c7c7f2caf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04032",
    "kind": "arxiv",
    "version": 1
  }
}