Pith Number

pith:WMADWUFQ

pith:2017:WMADWUFQ7HD4IQHIOY2TXACSYF

not attested not anchored not stored refs pending

Stability of the Superposition of a Viscous Contact Wave with two Rarefaction Waves to the bipolar Vlasov-Poisson-Boltzmann System

Hailiang Li, Teng Wang, Yi Wang

arxiv:1710.03102 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{WMADWUFQ7HD4IQHIOY2TXACSYF}

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	2026-05-18T00:33:27.065130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3003b50b0f9c7c440e876353b8052c17ee7527e76edff8668db63b6eea74420

Aliases

arxiv: 1710.03102 · arxiv_version: 1710.03102v1 · doi: 10.48550/arxiv.1710.03102 · pith_short_12: WMADWUFQ7HD4 · pith_short_16: WMADWUFQ7HD4IQHI · pith_short_8: WMADWUFQ

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/WMADWUFQ7HD4IQHIOY2TXACSYF \
  | 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: b3003b50b0f9c7c440e876353b8052c17ee7527e76edff8668db63b6eea74420

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40ce2562931d113ca4004004ec254e62f285520869d6663be23776d6c4237a23",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-09T14:03:11Z",
    "title_canon_sha256": "bd30db08ef99d171f9b0188c236d7cd2fca788310f75955d96bd7f400e450534"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03102",
    "kind": "arxiv",
    "version": 1
  }
}