Pith Number

pith:ZALPOC5I

pith:2020:ZALPOC5IAM2EJ4EWLNEZZ5CGQ5

not attested not anchored not stored refs pending

Sensitivity analysis and incompressible Navier-Stokes-Poisson limit of Vlasov-Poisson-Boltzmann equations with uncertainty

Ning Jiang, Xu Zhang

arxiv:2007.00879 v1 · 2020-07-02 · 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{ZALPOC5IAM2EJ4EWLNEZZ5CGQ5}

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	2026-07-05T01:15:42.104527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c816f70ba8033444f0965b499cf446875563c59a0c9187503767121f7a59ce14

Aliases

arxiv: 2007.00879 · arxiv_version: 2007.00879v1 · doi: 10.48550/arxiv.2007.00879 · pith_short_12: ZALPOC5IAM2E · pith_short_16: ZALPOC5IAM2EJ4EW · pith_short_8: ZALPOC5I

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/ZALPOC5IAM2EJ4EWLNEZZ5CGQ5 \
  | 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: c816f70ba8033444f0965b499cf446875563c59a0c9187503767121f7a59ce14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3efb01488180d52648364219796c89130de8d19c444ffbd2dc38f557da108cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-07-02T04:51:14Z",
    "title_canon_sha256": "79ba41135c3daee2bb1440bcee8ca53df81e619970dd4c231e1a26583be065ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.00879",
    "kind": "arxiv",
    "version": 1
  }
}