Pith Number

pith:ANSY3OZH

pith:2021:ANSY3OZH2TSUQU6PQC2NA34J4P

not attested not anchored not stored refs pending

On the Vlasov-Poisson-Boltzmann limit of the Vlasov-Maxwell-Boltzmann system

Huijiang Zhao, Ning Jiang, Yuanjie Lei

arxiv:2111.02132 v1 · 2021-11-03 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ANSY3OZH2TSUQU6PQC2NA34J4P}

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	2026-07-05T03:28:47.896690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03658dbb27d4e54853cf80b4d06f89e3ca132a0f749151d9813f71bc0804aa32

Aliases

arxiv: 2111.02132 · arxiv_version: 2111.02132v1 · doi: 10.48550/arxiv.2111.02132 · pith_short_12: ANSY3OZH2TSU · pith_short_16: ANSY3OZH2TSUQU6P · pith_short_8: ANSY3OZH

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/ANSY3OZH2TSUQU6PQC2NA34J4P \
  | 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: 03658dbb27d4e54853cf80b4d06f89e3ca132a0f749151d9813f71bc0804aa32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c77799904c37ff490dc4f1261c29d991b849e30cb6e8d076529163b61014d560",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-11-03T10:58:56Z",
    "title_canon_sha256": "46ad5205712fd21277ddbc5335f1aa3debc5b0a8273b56c1b0ab23054090923f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.02132",
    "kind": "arxiv",
    "version": 1
  }
}