Pith Number

pith:2JB3ZOPI

pith:2017:2JB3ZOPI5XP4BGLRFWZHYRVLXQ

not attested not anchored not stored refs pending

Global very weak solutions to a chemotaxis-fluid system with nonlinear diffusion

Tobias Black

arxiv:1712.00262 v2 · 2017-12-01 · 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{2JB3ZOPI5XP4BGLRFWZHYRVLXQ}

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	2026-05-18T00:09:00.295345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d243bcb9e8eddfc099712db27c46abbc15cc104c6390cfbba1c8d37d0d310387

Aliases

arxiv: 1712.00262 · arxiv_version: 1712.00262v2 · doi: 10.48550/arxiv.1712.00262 · pith_short_12: 2JB3ZOPI5XP4 · pith_short_16: 2JB3ZOPI5XP4BGLR · pith_short_8: 2JB3ZOPI

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/2JB3ZOPI5XP4BGLRFWZHYRVLXQ \
  | 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: d243bcb9e8eddfc099712db27c46abbc15cc104c6390cfbba1c8d37d0d310387

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12c5fcc58cfbe1550f0ea2091f4a98768da59f148cf217f4a9b336e139dee886",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-01T10:22:52Z",
    "title_canon_sha256": "462fe9e2327799dbee2bbffb5da9f6dca1bd963b1cf4910f0f512a8627afcd48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00262",
    "kind": "arxiv",
    "version": 2
  }
}