Pith Number

pith:DJ2THZPP

pith:2017:DJ2THZPPRONUDEC645A54W4MRL

not attested not anchored not stored refs pending

Nonlinear stability of planar rarefaction wave to the three-dimensional Boltzmann equation

Teng Wang, Yi Wang

arxiv:1712.05489 v2 · 2017-12-15 · 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{DJ2THZPPRONUDEC645A54W4MRL}

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	2026-05-17T23:55:38.875347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a7533e5ef8b9b41905ee741de5b8c8af831bb4559ca7d4273722d8d941289c7

Aliases

arxiv: 1712.05489 · arxiv_version: 1712.05489v2 · doi: 10.48550/arxiv.1712.05489 · pith_short_12: DJ2THZPPRONU · pith_short_16: DJ2THZPPRONUDEC6 · pith_short_8: DJ2THZPP

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/DJ2THZPPRONUDEC645A54W4MRL \
  | 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: 1a7533e5ef8b9b41905ee741de5b8c8af831bb4559ca7d4273722d8d941289c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44681705906621ab059e1ad9c93b72ff6990fca731d5161c4cd9670caba09647",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-15T00:37:21Z",
    "title_canon_sha256": "c25419bd2ac1e7a4f04d0fd3793e1cb0e55ef2bb663dc831deedf4865081b609"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05489",
    "kind": "arxiv",
    "version": 2
  }
}