Pith Number

pith:HIRMAM2B

pith:2014:HIRMAM2BPUDWOWQO5DVX6AZ5PP

not attested not anchored not stored refs pending

Spectrum analysis for the Vlasov-Poisson-Boltzmann system

Hailiang Li, Mingying Zhong, Tong Yang

arxiv:1402.3633 v1 · 2014-02-15 · 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{HIRMAM2BPUDWOWQO5DVX6AZ5PP}

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	2026-05-18T02:58:56.047045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a22c033417d07675a0ee8eb7f033d7bee4694b5ddc01e46aa60c24d61af9def

Aliases

arxiv: 1402.3633 · arxiv_version: 1402.3633v1 · doi: 10.48550/arxiv.1402.3633 · pith_short_12: HIRMAM2BPUDW · pith_short_16: HIRMAM2BPUDWOWQO · pith_short_8: HIRMAM2B

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/HIRMAM2BPUDWOWQO5DVX6AZ5PP \
  | 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: 3a22c033417d07675a0ee8eb7f033d7bee4694b5ddc01e46aa60c24d61af9def

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19af76990700089e83bad9482f8beb23514d94d8572fcb387081e3967078d893",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-02-15T01:38:24Z",
    "title_canon_sha256": "8fa0d248026cb7af7a6f6eaa0a1389b218fd5ed66588dac486515e293b721b77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3633",
    "kind": "arxiv",
    "version": 1
  }
}