Pith Number

pith:GUSH2YB5

pith:2012:GUSH2YB5SL42WWJCRAAWMD5EBJ

not attested not anchored not stored refs pending

Turbulence properties and global regularity of a modified Navier-Stokes equation

Rainer Grauer, Thomas C. Sideris, Tobias Grafke

arxiv:1205.5619 v1 · 2012-05-25 · 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{GUSH2YB5SL42WWJCRAAWMD5EBJ}

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	2026-05-18T01:57:17.522278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35247d603d92f9ab59228801660fa40a46f3d3626af37a336677fad7efc8a0c0

Aliases

arxiv: 1205.5619 · arxiv_version: 1205.5619v1 · doi: 10.48550/arxiv.1205.5619 · pith_short_12: GUSH2YB5SL42 · pith_short_16: GUSH2YB5SL42WWJC · pith_short_8: GUSH2YB5

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/GUSH2YB5SL42WWJCRAAWMD5EBJ \
  | 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: 35247d603d92f9ab59228801660fa40a46f3d3626af37a336677fad7efc8a0c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48ce6f7308b398b194e4bde219998c14764d0d364e7439c94942aecd6e820fb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2012-05-25T07:01:20Z",
    "title_canon_sha256": "2a6f22c61fcd9ca2b70767810dc9d1e6d53009b3bb15c54c6419e630073d32b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5619",
    "kind": "arxiv",
    "version": 1
  }
}