Pith Number

pith:6CPBT3I6

pith:2012:6CPBT3I6KLHY6UVWWBQRATMMQX

not attested not anchored not stored refs pending

Lie Algebra of Hamiltonian Vector Fields and the Poisson-Vlasov Equations

Hasan G\"umral, O\u{g}ul Esen

arxiv:1203.1437 v1 · 2012-03-07 · 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{6CPBT3I6KLHY6UVWWBQRATMMQX}

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	2026-05-18T04:00:38.717106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f09e19ed1e52cf8f52b6b061104d8c85fd2091912d32907d9174931b87955edc

Aliases

arxiv: 1203.1437 · arxiv_version: 1203.1437v1 · doi: 10.48550/arxiv.1203.1437 · pith_short_12: 6CPBT3I6KLHY · pith_short_16: 6CPBT3I6KLHY6UVW · pith_short_8: 6CPBT3I6

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/6CPBT3I6KLHY6UVWWBQRATMMQX \
  | 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: f09e19ed1e52cf8f52b6b061104d8c85fd2091912d32907d9174931b87955edc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b65b96a9d3a5c752490e019f3c7d9a6931d119888bfa592ac85f35b528aa303a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-03-07T11:10:25Z",
    "title_canon_sha256": "4936a65be8907535e7bdc3156601abef52f412d6be0c1fd01986d235a4c15b09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1437",
    "kind": "arxiv",
    "version": 1
  }
}