Pith Number

pith:7A2MVD6W

pith:2018:7A2MVD6WKNSOJJSA3I2TJ63MS6

not attested not anchored not stored refs pending

Well-posedness of nonisentropic Euler equations with physical vacuum

Dehua Wang, Runzhang Xu, Yachun Li, Yongcai Geng

arxiv:1806.09799 v2 · 2018-06-26 · 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{7A2MVD6WKNSOJJSA3I2TJ63MS6}

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	2026-05-17T23:44:59.408364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f834ca8fd65364e4a640da3534fb6c97a344817250bcd56d20aee035b064ce03

Aliases

arxiv: 1806.09799 · arxiv_version: 1806.09799v2 · doi: 10.48550/arxiv.1806.09799 · pith_short_12: 7A2MVD6WKNSO · pith_short_16: 7A2MVD6WKNSOJJSA · pith_short_8: 7A2MVD6W

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/7A2MVD6WKNSOJJSA3I2TJ63MS6 \
  | 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: f834ca8fd65364e4a640da3534fb6c97a344817250bcd56d20aee035b064ce03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c1f3b3521ee30328457cc0999065d5083f62d1ed91267f16a844715f6b701f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-26T05:32:43Z",
    "title_canon_sha256": "a5e8717fd93609b1c1bf98392d29440049ade0779d08578dffd403318e81e334"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09799",
    "kind": "arxiv",
    "version": 2
  }
}