Pith Number

pith:YP2BH46C

pith:2011:YP2BH46CB5JX7CIYRPZBM76CHL

not attested not anchored not stored refs pending

Uniqueness of the compactly supported weak solutions of the relativistic Vlasov-Darwin system

Martial Agueh, Reinel Sospedra-Alfonso

arxiv:1107.4782 v2 · 2011-07-24 · math-ph · math.AP · 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{YP2BH46CB5JX7CIYRPZBM76CHL}

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	2026-05-18T03:46:31.731520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3f413f3c20f537f89188bf2167fc23ae8265eedfd018a236e6ddccf73da83d7

Aliases

arxiv: 1107.4782 · arxiv_version: 1107.4782v2 · doi: 10.48550/arxiv.1107.4782 · pith_short_12: YP2BH46CB5JX · pith_short_16: YP2BH46CB5JX7CIY · pith_short_8: YP2BH46C

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/YP2BH46CB5JX7CIYRPZBM76CHL \
  | 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: c3f413f3c20f537f89188bf2167fc23ae8265eedfd018a236e6ddccf73da83d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6240775b432766807a079dcff123c7469e20c6a31c01b212c1be355bb37e4134",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-07-24T18:16:24Z",
    "title_canon_sha256": "0118b0d785183e3cb0dcc9f60d762f1eb58e7fbaf0ca57b7afc9eb2f6f4d243b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4782",
    "kind": "arxiv",
    "version": 2
  }
}