Pith Number

pith:UN3SBJFP

pith:2015:UN3SBJFP5F37MXM5OO2GLBZ7N5

not attested not anchored not stored refs pending

The Navier-Stokes equations for Incompressible Flows: solution properties at potential blow-up times

Jens Lorenz, Paulo R. Zingano

arxiv:1503.01767 v1 · 2015-03-05 · 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{UN3SBJFP5F37MXM5OO2GLBZ7N5}

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	2026-05-18T02:25:32.973974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a37720a4afe977f65d9d73b465873f6f7d43bdb5715973d76bc3141b92572692

Aliases

arxiv: 1503.01767 · arxiv_version: 1503.01767v1 · doi: 10.48550/arxiv.1503.01767 · pith_short_12: UN3SBJFP5F37 · pith_short_16: UN3SBJFP5F37MXM5 · pith_short_8: UN3SBJFP

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/UN3SBJFP5F37MXM5OO2GLBZ7N5 \
  | 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: a37720a4afe977f65d9d73b465873f6f7d43bdb5715973d76bc3141b92572692

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5f5c052b2af11a2a507f316d3ff20c7969acc8dd636c1af9356276c4e66c4b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-05T20:52:53Z",
    "title_canon_sha256": "e4c748999ef78b0240ef4cfa1599027123ead883e977c9cbcb588a7c9870b6bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01767",
    "kind": "arxiv",
    "version": 1
  }
}