Pith Number

pith:QBBMW5BB

pith:2015:QBBMW5BBVAQBKHZGR5WLOKGBCP

not attested not anchored not stored refs pending

Ill-posedness of the hydrostatic Euler and singular Vlasov equations

Daniel Han-Kwan, Toan T. Nguyen

arxiv:1507.01813 v2 · 2015-07-07 · 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{QBBMW5BBVAQBKHZGR5WLOKGBCP}

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	2026-05-18T01:18:44.310520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8042cb7421a820151f268f6cb728c113f33e2e06f808b33743cdd31b1589f4b2

Aliases

arxiv: 1507.01813 · arxiv_version: 1507.01813v2 · doi: 10.48550/arxiv.1507.01813 · pith_short_12: QBBMW5BBVAQB · pith_short_16: QBBMW5BBVAQBKHZG · pith_short_8: QBBMW5BB

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/QBBMW5BBVAQBKHZGR5WLOKGBCP \
  | 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: 8042cb7421a820151f268f6cb728c113f33e2e06f808b33743cdd31b1589f4b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81315d2481929045373c296dcef9b90c685704b9f9489049762befcbc3d16eb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-07T14:01:40Z",
    "title_canon_sha256": "a7b49ef429593960557ac1f03646ef5cb465359daae510193f124704fde199b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01813",
    "kind": "arxiv",
    "version": 2
  }
}