Pith Number

pith:4OR23BGS

pith:2024:4OR23BGSMXR56KY2SFU2FVG75E

not attested not anchored not stored refs pending

Physical Vacuum Problems for the Full Compressible Euler Equations: Low-regularity Hadamard-style Local Well-posedness

Sicheng Liu, Tao Luo

arxiv:2411.17153 v4 · 2024-11-26 · 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{4OR23BGSMXR56KY2SFU2FVG75E}

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	2026-07-05T11:46:37.469184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3a3ad84d265e3df2b1a9169a2d4dfe93065bbefa88d6fe24d59c37668bc5fc5

Aliases

arxiv: 2411.17153 · arxiv_version: 2411.17153v4 · doi: 10.48550/arxiv.2411.17153 · pith_short_12: 4OR23BGSMXR5 · pith_short_16: 4OR23BGSMXR56KY2 · pith_short_8: 4OR23BGS

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/4OR23BGSMXR56KY2SFU2FVG75E \
  | 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: e3a3ad84d265e3df2b1a9169a2d4dfe93065bbefa88d6fe24d59c37668bc5fc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "338d729fe80db35ab6aa543bf754e2aa568310dbb061cd09adaf38b0bb7b10f1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-26T06:47:19Z",
    "title_canon_sha256": "47a22c00ff26f4a0d75e0977da1347bd9a08b1d91848771270a2d2f780aa8cea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17153",
    "kind": "arxiv",
    "version": 4
  }
}