Pith Number

pith:7R6MRAYL

pith:2002:7R6MRAYLF5PH45OSZHEPQIJV2N

not attested not anchored not stored refs pending

Symmetry reduction and exact solutions of the Navier-Stokes equations

Roman O. Popovych, Wilhelm I. Fushchych

arxiv:math-ph/0207016 v2 · 2002-07-11 · math-ph · math.MP · nlin.SI · 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{7R6MRAYLF5PH45OSZHEPQIJV2N}

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	2026-05-18T04:37:21.020152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc7cc8830b2f5e7e75d2c9c8f82135d35a0593260c98e9a85bf55630010bd0e0

Aliases

arxiv: math-ph/0207016 · arxiv_version: math-ph/0207016v2 · doi: 10.48550/arxiv.math-ph/0207016 · pith_short_12: 7R6MRAYLF5PH · pith_short_16: 7R6MRAYLF5PH45OS · pith_short_8: 7R6MRAYL

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/7R6MRAYLF5PH45OSZHEPQIJV2N \
  | 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: fc7cc8830b2f5e7e75d2c9c8f82135d35a0593260c98e9a85bf55630010bd0e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e26e4068ed63d50a1733082ba9a3d8f748c82ffd505d1c2d3c6be741be348f0d",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI",
      "physics.flu-dyn"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-07-11T17:09:03Z",
    "title_canon_sha256": "2b419cc8749c78226a8ae605802f73c8a9c5236cf0e0061694d76c37c0d26f7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0207016",
    "kind": "arxiv",
    "version": 2
  }
}