Pith Number

pith:MOLBIHW2

pith:2015:MOLBIHW2NWKYON4GLBNNHDXRPQ

not attested not anchored not stored refs pending

Remarks on the Cauchy problem for the axisymmetric Navier-Stokes equations

Thierry Gallay, Vladimir Sverak

arxiv:1510.01036 v1 · 2015-10-05 · 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{MOLBIHW2NWKYON4GLBNNHDXRPQ}

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	2026-05-18T01:31:04.935566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6396141eda6d95873786585ad38ef17c1bbe433fa5cbbe56dea9d3a37a79cde3

Aliases

arxiv: 1510.01036 · arxiv_version: 1510.01036v1 · doi: 10.48550/arxiv.1510.01036 · pith_short_12: MOLBIHW2NWKY · pith_short_16: MOLBIHW2NWKYON4G · pith_short_8: MOLBIHW2

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/MOLBIHW2NWKYON4GLBNNHDXRPQ \
  | 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: 6396141eda6d95873786585ad38ef17c1bbe433fa5cbbe56dea9d3a37a79cde3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2800f2e01e373a52099ef2e84f7cc8fb5e4372912f065cff6d3d1e2ab4e01083",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-05T05:59:10Z",
    "title_canon_sha256": "382974740256c3db60cf993f20d6a980c97d502571c4184f65894f9346d44bbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01036",
    "kind": "arxiv",
    "version": 1
  }
}