Pith Number

pith:3OQILUFY

pith:2018:3OQILUFYTHY6ONROIVMKFT5SRK

not attested not anchored not stored refs pending

An optimal result for global existence and boundedness in a three-dimensional Keller-Segel(-Navier)-Stokes system (involving a tensor-valued sensitivity with saturation)

Jiashan Zheng

arxiv:1806.07067 v2 · 2018-06-19 · 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{3OQILUFYTHY6ONROIVMKFT5SRK}

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	2026-05-18T00:11:56.600165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dba085d0b899f1e7362e4558a2cfb28aa70bf580ca1f72db7a0b182ca1a3b63f

Aliases

arxiv: 1806.07067 · arxiv_version: 1806.07067v2 · doi: 10.48550/arxiv.1806.07067 · pith_short_12: 3OQILUFYTHY6 · pith_short_16: 3OQILUFYTHY6ONRO · pith_short_8: 3OQILUFY

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/3OQILUFYTHY6ONROIVMKFT5SRK \
  | 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: dba085d0b899f1e7362e4558a2cfb28aa70bf580ca1f72db7a0b182ca1a3b63f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04c074d74d8af9f340a91f89b7841e8d05dcb6065485b4e009ba310bc5ba8fab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-19T07:07:04Z",
    "title_canon_sha256": "5282b350736032de8f9f5f470715a8bd08967454169e9f26a5002b1815552156"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07067",
    "kind": "arxiv",
    "version": 2
  }
}