Pith Number

pith:ZRZOTGMR

pith:2015:ZRZOTGMRGYO2NMENFTX76ZDDB4

not attested not anchored not stored refs pending

Stochastic variational principles for dissipative equations with advected quantities

Ana Bela Cruzeiro, Tudor S. Ratiu, Xin Chen

arxiv:1506.05024 v2 · 2015-06-16 · 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{ZRZOTGMRGYO2NMENFTX76ZDDB4}

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	2026-05-18T00:07:28.689295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc72e99991361da6b08d2cefff64630f2fb814f6399ce76c1b47a0d0d3c8d955

Aliases

arxiv: 1506.05024 · arxiv_version: 1506.05024v2 · doi: 10.48550/arxiv.1506.05024 · pith_short_12: ZRZOTGMRGYO2 · pith_short_16: ZRZOTGMRGYO2NMEN · pith_short_8: ZRZOTGMR

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/ZRZOTGMRGYO2NMENFTX76ZDDB4 \
  | 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: cc72e99991361da6b08d2cefff64630f2fb814f6399ce76c1b47a0d0d3c8d955

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9964862f5f914d721725551415a71abca10cbd573de9439b80554ab4f8176fe",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-06-16T16:18:55Z",
    "title_canon_sha256": "a2ed6611d20571dbe4fbdb3e7e1cb23551a252c46eb1d6fa6bcb71fc61c7dd9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05024",
    "kind": "arxiv",
    "version": 2
  }
}