Pith Number

pith:T4J5NFAF

pith:2012:T4J5NFAFM5HXWOPGJ7GVQDULCM

not attested not anchored not stored refs pending

Solving Vlasov Equations Using NRxx Method

Ruo Li, Yanli Wang, Zhenning Cai

arxiv:1209.0527 v1 · 2012-09-04 · 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{T4J5NFAFM5HXWOPGJ7GVQDULCM}

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	2026-05-18T03:46:17.927858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f13d69405674f7b39e64fcd580e8b13170745539969d579906d3ef89dbe1bbe

Aliases

arxiv: 1209.0527 · arxiv_version: 1209.0527v1 · doi: 10.48550/arxiv.1209.0527 · pith_short_12: T4J5NFAFM5HX · pith_short_16: T4J5NFAFM5HXWOPG · pith_short_8: T4J5NFAF

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/T4J5NFAFM5HXWOPGJ7GVQDULCM \
  | 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: 9f13d69405674f7b39e64fcd580e8b13170745539969d579906d3ef89dbe1bbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "718aa8d5dfd7008a4feaa695acdefda2287bf5956f88f66cd551073f22a0472e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-04T04:22:30Z",
    "title_canon_sha256": "80e5e4c779605acd1d8a902e93c45e6817f8c79469f18d71780cd7dd1e6867d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0527",
    "kind": "arxiv",
    "version": 1
  }
}