Pith Number

pith:JQBL62NJ

pith:2010:JQBL62NJ4RTRIYMCUI46J74BFB

not attested not anchored not stored refs pending

Kolmogorov's Theory of Turbulence and Inviscid Limit of the Navier-Stokes Equations in $\R^3$

Gui-Qiang G. Chen, James Glimm

arxiv:1008.1546 v2 · 2010-08-09 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQBL62NJ4RTRIYMCUI46J74BFB}

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	2026-05-18T04:09:53.768180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c02bf69a9e467146182a239e4ff81285b41089bc9e2339b187ae74bcc2d8ab6

Aliases

arxiv: 1008.1546 · arxiv_version: 1008.1546v2 · doi: 10.48550/arxiv.1008.1546 · pith_short_12: JQBL62NJ4RTR · pith_short_16: JQBL62NJ4RTRIYMC · pith_short_8: JQBL62NJ

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/JQBL62NJ4RTRIYMCUI46J74BFB \
  | 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: 4c02bf69a9e467146182a239e4ff81285b41089bc9e2339b187ae74bcc2d8ab6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ffea3decbd578e4751f847fb58743b2c681cf8cc17028cd7d3d2ed92bb1f614",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-08-09T17:07:00Z",
    "title_canon_sha256": "31d1061ac8d361067951dba2c64e9e99276e926c58cd38fcb8fe72ffbe78c17e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1546",
    "kind": "arxiv",
    "version": 2
  }
}