Pith Number

pith:6652XAOY

pith:2017:6652XAOYPVWGHVZXYMHJK76VPU

not attested not anchored not stored refs pending

Compressible-incompressible two-phase flows with phase transition: model problem

Keiichi Watanabe

arxiv:1705.04314 v2 · 2017-05-10 · 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{6652XAOYPVWGHVZXYMHJK76VPU}

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	2026-05-18T00:25:57.862923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7bbab81d87d6c63d737c30e957fd57d28732b81d41ce367e8bd009ed3a3cc2a

Aliases

arxiv: 1705.04314 · arxiv_version: 1705.04314v2 · doi: 10.48550/arxiv.1705.04314 · pith_short_12: 6652XAOYPVWG · pith_short_16: 6652XAOYPVWGHVZX · pith_short_8: 6652XAOY

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/6652XAOYPVWGHVZXYMHJK76VPU \
  | 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: f7bbab81d87d6c63d737c30e957fd57d28732b81d41ce367e8bd009ed3a3cc2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39bcefe06aef5cc9fc246fa56a0b48a06da83498bee91b3fffe7332a00730dd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-10T01:13:39Z",
    "title_canon_sha256": "32ae026749436bce79b9d49d38aa2af74603ff38a7550301e97c1451906fe077"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04314",
    "kind": "arxiv",
    "version": 2
  }
}