Pith Number

pith:X7DC7O47

pith:2018:X7DC7O47YNHFJURDSPASRUPYVK

not attested not anchored not stored refs pending

A stochastic version and a Liouville theorem for hamiltonian inclusions with convex dissipation

Marius Buliga

arxiv:1807.10480 v1 · 2018-07-27 · math-ph · math.DS · 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{X7DC7O47YNHFJURDSPASRUPYVK}

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.

Cited by

1 paper in Pith

Comments on Symplectic bipotentials arXiv:2410.23122

Receipt and verification

First computed	2026-05-18T00:09:40.467787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfc62fbb9fc34e54d22393c128d1f8aaa819450f7d8a5af58fc7684823e46cba

Aliases

arxiv: 1807.10480 · arxiv_version: 1807.10480v1 · doi: 10.48550/arxiv.1807.10480 · pith_short_12: X7DC7O47YNHF · pith_short_16: X7DC7O47YNHFJURD · pith_short_8: X7DC7O47

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/X7DC7O47YNHFJURDSPASRUPYVK \
  | 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: bfc62fbb9fc34e54d22393c128d1f8aaa819450f7d8a5af58fc7684823e46cba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0724ba47cdec9896eda171725e22bed853a965ae712ce832f5e1459c854ca222",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-07-27T08:14:12Z",
    "title_canon_sha256": "01ca120a48a74ed307a6ef712f0107350c4b71d28af123a123d2140262aa16a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10480",
    "kind": "arxiv",
    "version": 1
  }
}