Pith Number

pith:KKIMJUP3

pith:2017:KKIMJUP33V6A3R5XDXSYEC2XKW

not attested not anchored not stored refs pending

On strong dynamics of compressible two-component mixture flow

Ewelina Zatorska, Tomasz Piasecki, Yoshihiro Shibata

arxiv:1709.09722 v2 · 2017-09-27 · 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{KKIMJUP33V6A3R5XDXSYEC2XKW}

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	2026-05-17T23:58:54.656706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5290c4d1fbdd7c0dc7b71de5820b5755b817547cc0447af1e1da0e70cadb6fe9

Aliases

arxiv: 1709.09722 · arxiv_version: 1709.09722v2 · doi: 10.48550/arxiv.1709.09722 · pith_short_12: KKIMJUP33V6A · pith_short_16: KKIMJUP33V6A3R5X · pith_short_8: KKIMJUP3

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/KKIMJUP33V6A3R5XDXSYEC2XKW \
  | 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: 5290c4d1fbdd7c0dc7b71de5820b5755b817547cc0447af1e1da0e70cadb6fe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03af2dc81b3f6804167d100c12941b405775357fa006ea70583f201856b14bc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-27T20:16:02Z",
    "title_canon_sha256": "59be951d1fc87267e06c441e730d3297d9c7c182aec3dfac7e9134388533e2af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09722",
    "kind": "arxiv",
    "version": 2
  }
}