Pith Number

pith:43SIZCZR

pith:2025:43SIZCZRRHESUFUJT3RVB2C57Q

not attested not anchored not stored refs pending

The Vlasov Bivector: A Parameter-Free Approach to Vlasov Kinematics

Finlay Gunneberg, Harvey Stanfield, Jonathan Gratus

arxiv:2501.16104 v1 · 2025-01-27 · math-ph · hep-th · 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{43SIZCZRRHESUFUJT3RVB2C57Q}

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	2026-07-05T10:05:55.288845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6e48c8b3189c92a16899ee350e85dfc2639dcb9b79ff68fbc81db2a9483c298

Aliases

arxiv: 2501.16104 · arxiv_version: 2501.16104v1 · doi: 10.48550/arxiv.2501.16104 · pith_short_12: 43SIZCZRRHES · pith_short_16: 43SIZCZRRHESUFUJ · pith_short_8: 43SIZCZR

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/43SIZCZRRHESUFUJT3RVB2C57Q \
  | 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: e6e48c8b3189c92a16899ee350e85dfc2639dcb9b79ff68fbc81db2a9483c298

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f28de0d8e37a9fbe342f1712be7b0dcac4b13618a81a24dfec334c2a20646775",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-01-27T14:51:17Z",
    "title_canon_sha256": "1e6f6680eb4656e29d49477c6702d7a80aac43ebb6c329d37943cdf0eb7bc196"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.16104",
    "kind": "arxiv",
    "version": 1
  }
}