Pith Number

pith:6GNEYFGR

pith:2014:6GNEYFGRTVBXP6H5RNV5CBXDZQ

not attested not anchored not stored refs pending

Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system

Michael Winkler

arxiv:1410.5929 v1 · 2014-10-22 · 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{6GNEYFGRTVBXP6H5RNV5CBXDZQ}

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	2026-05-18T01:41:41.183033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f19a4c14d19d4377f8fd8b6bd106e3cc27084db7089b703cc251c8530f4529cf

Aliases

arxiv: 1410.5929 · arxiv_version: 1410.5929v1 · doi: 10.48550/arxiv.1410.5929 · pith_short_12: 6GNEYFGRTVBX · pith_short_16: 6GNEYFGRTVBXP6H5 · pith_short_8: 6GNEYFGR

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/6GNEYFGRTVBXP6H5RNV5CBXDZQ \
  | 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: f19a4c14d19d4377f8fd8b6bd106e3cc27084db7089b703cc251c8530f4529cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "756548ffddf9be80d8053825ebdd1b52f416d23e7aa41656880a54441db83919",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-10-22T07:39:15Z",
    "title_canon_sha256": "403b430fb821f5303892f861424943acb707d2d44c717da41c0964027f985d3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5929",
    "kind": "arxiv",
    "version": 1
  }
}