Pith Number

pith:MT4NRYC6

pith:2019:MT4NRYC6GX3WDQDGCYL5R3VWEI

not attested not anchored not stored refs pending

An optimal result for global classical and bounded solutions in a two-dimensional Keller-Segel-Navier-Stokes system with sensitivity

Jiashan Zheng

arxiv:1903.01033 v4 · 2019-03-04 · 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{MT4NRYC6GX3WDQDGCYL5R3VWEI}

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	2026-05-17T23:51:51.901788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64f8d8e05e35f761c0661617d8eeb622301c62b795fb2ce10205794abb3cde83

Aliases

arxiv: 1903.01033 · arxiv_version: 1903.01033v4 · doi: 10.48550/arxiv.1903.01033 · pith_short_12: MT4NRYC6GX3W · pith_short_16: MT4NRYC6GX3WDQDG · pith_short_8: MT4NRYC6

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/MT4NRYC6GX3WDQDGCYL5R3VWEI \
  | 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: 64f8d8e05e35f761c0661617d8eeb622301c62b795fb2ce10205794abb3cde83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc8ab0fe583c4bdcc2152a42bd0b5604f54c83b9091e078957a6d92107e29c77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-04T01:25:08Z",
    "title_canon_sha256": "0c4ff75c655bc44c6ce65e03624d69d180b2658c843331f0585c1ab09aa60e76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.01033",
    "kind": "arxiv",
    "version": 4
  }
}