Pith Number

pith:PPKA6YQ7

pith:2019:PPKA6YQ76NWLYJHB5P7CUG46PV

not attested not anchored not stored refs pending

Continuity equation and vacuum regions in compressible flows

Antonin Novotny, Milan Pokorny

arxiv:1902.03329 v1 · 2019-02-08 · 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{PPKA6YQ76NWLYJHB5P7CUG46PV}

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	2026-05-17T23:54:21.214000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bd40f621ff36cbc24e1ebfe2a1b9e7d698bb1ab5b41ca0eb147c825ab2b70bf

Aliases

arxiv: 1902.03329 · arxiv_version: 1902.03329v1 · doi: 10.48550/arxiv.1902.03329 · pith_short_12: PPKA6YQ76NWL · pith_short_16: PPKA6YQ76NWLYJHB · pith_short_8: PPKA6YQ7

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/PPKA6YQ76NWLYJHB5P7CUG46PV \
  | 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: 7bd40f621ff36cbc24e1ebfe2a1b9e7d698bb1ab5b41ca0eb147c825ab2b70bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82310eed811a52f7f1a08faceec49e9239ccd823600b7b81d05a489015961c02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-02-08T23:50:21Z",
    "title_canon_sha256": "35c7575d5e8329d95bb30757167d7cb8bf45e135a9c14f79aa488622cea98fe0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.03329",
    "kind": "arxiv",
    "version": 1
  }
}