Pith Number

pith:J6ZWACPD

pith:2011:J6ZWACPDTPE5Y4DCFCUXFE2SYX

not attested not anchored not stored refs pending

A Variational Principle for Dissipative Fluid Dynamics

Hiroki Fukagawa, Youhei Fujitani

arxiv:1104.0866 v8 · 2011-04-05 · physics.flu-dyn · 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{J6ZWACPDTPE5Y4DCFCUXFE2SYX}

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	2026-05-18T03:54:27.925079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fb36009e39bc9dc706228a9729352c5ecbb0a1487f17c6be7457917e1292738

Aliases

arxiv: 1104.0866 · arxiv_version: 1104.0866v8 · doi: 10.48550/arxiv.1104.0866 · pith_short_12: J6ZWACPDTPE5 · pith_short_16: J6ZWACPDTPE5Y4DC · pith_short_8: J6ZWACPD

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/J6ZWACPDTPE5Y4DCFCUXFE2SYX \
  | 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: 4fb36009e39bc9dc706228a9729352c5ecbb0a1487f17c6be7457917e1292738

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5e94fbbc8e9531c9ecacbd0d72cd567d3f8c4c3513f031696fc500ef4f719cc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2011-04-05T15:03:38Z",
    "title_canon_sha256": "cf024fa00dc3b32de70de942d04d894bf622952bddc2afae705a1b85501fb049"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0866",
    "kind": "arxiv",
    "version": 8
  }
}