Pith Number

pith:XEOQROXH

pith:2016:XEOQROXHIQ3RQ6WQS3RYLO7JKO

not attested not anchored not stored refs pending

Global classical small-data solutions for a three-dimensional chemotaxis Navier-Stokes system involving matrix-valued sensitivities

Johannes Lankeit, Xinru Cao

arxiv:1601.03897 v1 · 2016-01-15 · 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{XEOQROXHIQ3RQ6WQS3RYLO7JKO}

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	2026-05-18T01:22:49.761774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b91d08bae74437187ad096e385bbe95392c9fb76445cacc2dbc0ef87cc9c8270

Aliases

arxiv: 1601.03897 · arxiv_version: 1601.03897v1 · doi: 10.48550/arxiv.1601.03897 · pith_short_12: XEOQROXHIQ3R · pith_short_16: XEOQROXHIQ3RQ6WQ · pith_short_8: XEOQROXH

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/XEOQROXHIQ3RQ6WQS3RYLO7JKO \
  | 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: b91d08bae74437187ad096e385bbe95392c9fb76445cacc2dbc0ef87cc9c8270

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fadf5c7f233035ed2214050779ef0a95da9aee0cf4af0e1ab2ccdfd1325752c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-15T12:55:15Z",
    "title_canon_sha256": "6f51eefe5f9953ee6e814ca902cdf66b5588fdaaca9fd266b20d98b1bde200a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03897",
    "kind": "arxiv",
    "version": 1
  }
}