Pith Number

pith:YRFBOOKV

pith:2020:YRFBOOKVGASX23KG7ULWJPI4C3

not attested not anchored not stored refs pending

Separable Hamiltonian PDEs and Turning point principle for stability of gaseous stars

Chongchun Zeng, Zhiwu Lin

arxiv:2005.00973 v2 · 2020-05-03 · 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{YRFBOOKVGASX23KG7ULWJPI4C3}

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	2026-07-05T02:10:48.145186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c44a17395530257d6d46fd1764bd1c16c53382ed7b14d3a93c5122ef03002105

Aliases

arxiv: 2005.00973 · arxiv_version: 2005.00973v2 · doi: 10.48550/arxiv.2005.00973 · pith_short_12: YRFBOOKVGASX · pith_short_16: YRFBOOKVGASX23KG · pith_short_8: YRFBOOKV

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/YRFBOOKVGASX23KG7ULWJPI4C3 \
  | 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: c44a17395530257d6d46fd1764bd1c16c53382ed7b14d3a93c5122ef03002105

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "528c8977a455c7c92c97ae90fa5c4194aa1d1c8892cd39cf879d81d07a8a0fa2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-05-03T03:11:48Z",
    "title_canon_sha256": "1816239a5685a0e037c88cbb0eb7c174e912632d42481ed5d1101e8c3de3d020"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.00973",
    "kind": "arxiv",
    "version": 2
  }
}