Pith Number

pith:P7DV4SR4

pith:2013:P7DV4SR45DIQRFQ5JIP3GFKA35

not attested not anchored not stored refs pending

Remarks on the asymptotically discretely self-similar solutions of the Navier-Stokes and the Euler equations

Dongho Chae

arxiv:1306.0305 v5 · 2013-06-03 · 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{P7DV4SR45DIQRFQ5JIP3GFKA35}

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	2026-05-18T02:14:18.272222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fc75e4a3ce8d108961d4a1fb31540df5a4ba286abc22753f3ff746005a36027

Aliases

arxiv: 1306.0305 · arxiv_version: 1306.0305v5 · doi: 10.48550/arxiv.1306.0305 · pith_short_12: P7DV4SR45DIQ · pith_short_16: P7DV4SR45DIQRFQ5 · pith_short_8: P7DV4SR4

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/P7DV4SR45DIQRFQ5JIP3GFKA35 \
  | 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: 7fc75e4a3ce8d108961d4a1fb31540df5a4ba286abc22753f3ff746005a36027

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a733c03c1ab18e7e88eb5deac6d98ab1c2f1e24ede5d3e774f6fbc49277ac822",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-03T06:44:05Z",
    "title_canon_sha256": "b5ecfacc42263617d59c285574280f2a458d62c87d87a7d8ca6916deec3c340c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0305",
    "kind": "arxiv",
    "version": 5
  }
}