Pith Number

pith:L2EWPYWN

pith:2017:L2EWPYWNHXM7BH5FBCTJM6Y2KQ

not attested not anchored not stored refs pending

Stability of nonlinear wave patterns to the bipolar Vlasov-Poisson-Boltzmann system

Hailiang Li, Mingying Zhong, Tong Yang, Yi Wang

arxiv:1710.03089 v1 · 2017-10-09 · math.AP · 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{L2EWPYWNHXM7BH5FBCTJM6Y2KQ}

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	2026-05-18T00:29:59.525127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e8967e2cd3dd9f09fa508a6967b1a5407dd81e1812b4b66d9117ae67f646e4d

Aliases

arxiv: 1710.03089 · arxiv_version: 1710.03089v1 · doi: 10.48550/arxiv.1710.03089 · pith_short_12: L2EWPYWNHXM7 · pith_short_16: L2EWPYWNHXM7BH5F · pith_short_8: L2EWPYWN

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/L2EWPYWNHXM7BH5FBCTJM6Y2KQ \
  | 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: 5e8967e2cd3dd9f09fa508a6967b1a5407dd81e1812b4b66d9117ae67f646e4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1960b2f09adf7664133c3eb64273e8f698d31cc9640072b301e1a94fa4e9bee2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-09T13:47:26Z",
    "title_canon_sha256": "b40855e3dee30d5021646be23f3a65216e3182fb47d7892843ad6bb00e11d2bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03089",
    "kind": "arxiv",
    "version": 1
  }
}