Pith Number

pith:MMSB42TS

pith:2015:MMSB42TS7SPRDELNDZSPCWXS75

not attested not anchored not stored refs pending

Effect of vorticity coherence on energy-enstrophy bounds for the 3D Navier-Stokes equations

Michael S. Jolly, Radu Dascaliuc, Zoran Gruji\'c

arxiv:1502.06265 v1 · 2015-02-22 · math-ph · math.AP · math.MP · 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{MMSB42TS7SPRDELNDZSPCWXS75}

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	2026-05-18T01:31:45.454418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63241e6a72fc9f11916d1e64f15af2ff5a8c0ee99eda1f1887f3751585cdc7f6

Aliases

arxiv: 1502.06265 · arxiv_version: 1502.06265v1 · doi: 10.48550/arxiv.1502.06265 · pith_short_12: MMSB42TS7SPR · pith_short_16: MMSB42TS7SPRDELN · pith_short_8: MMSB42TS

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/MMSB42TS7SPRDELNDZSPCWXS75 \
  | 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: 63241e6a72fc9f11916d1e64f15af2ff5a8c0ee99eda1f1887f3751585cdc7f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85ba261bd865b81fe61c9acde44076b215dafdfff4866aa69a54b899588052e7",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-02-22T20:12:29Z",
    "title_canon_sha256": "521c32ce3661f07eed496d23e2c693ddbd98ddc39d0099b8ab1faf18a71c5997"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06265",
    "kind": "arxiv",
    "version": 1
  }
}