Pith Number

pith:Q3IUHE2M

pith:2026:Q3IUHE2MZHMLA7VPNO6X5TVQWW

not attested not anchored not stored refs pending

Homothetic Self-Similar Solutions to the Incompressible Navier-Stokes Equations

Matei P. Coiculescu, Tim Binz

arxiv:2607.12159 v1 · 2026-07-13 · math.AP · physics.flu-dyn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3IUHE2MZHMLA7VPNO6X5TVQWW}

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	2026-07-15T00:21:36.195574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86d143934cc9d8b07eaf6bbd7eceb0b59c4f3ca76dbc31db63f1eeb3ef4bbfc0

Aliases

arxiv: 2607.12159 · arxiv_version: 2607.12159v1 · doi: 10.48550/arxiv.2607.12159 · pith_short_12: Q3IUHE2MZHML · pith_short_16: Q3IUHE2MZHMLA7VP · pith_short_8: Q3IUHE2M

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/Q3IUHE2MZHMLA7VPNO6X5TVQWW \
  | 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: 86d143934cc9d8b07eaf6bbd7eceb0b59c4f3ca76dbc31db63f1eeb3ef4bbfc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6cc39986ab32882b5e67a679e26edef20667cae4c7d9c7a45d88b9ea4107285",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-13T21:09:35Z",
    "title_canon_sha256": "b35f7b1b75c29b68e86e91f067ea5027b67f1ce27d7ebdb43132af48215ee3ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12159",
    "kind": "arxiv",
    "version": 1
  }
}