Pith Number

pith:JWF7T6DT

pith:2018:JWF7T6DT5P2FQRLBPFIPNXMNCE

not attested not anchored not stored refs pending

Shock waves and characteristic discontinuities in ideal compressible two-fluid MHD

Lizhi Ruan, Yuri Trakhinin

arxiv:1810.07073 v1 · 2018-10-15 · math.AP · math-ph · math.MP · physics.flu-dyn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWF7T6DT5P2FQRLBPFIPNXMNCE}

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	2026-05-17T23:57:39.611517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d8bf9f873ebf45845617950f6dd8d113c84a796988fd48f9cf9d6b2755bedcf

Aliases

arxiv: 1810.07073 · arxiv_version: 1810.07073v1 · doi: 10.48550/arxiv.1810.07073 · pith_short_12: JWF7T6DT5P2F · pith_short_16: JWF7T6DT5P2FQRLB · pith_short_8: JWF7T6DT

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/JWF7T6DT5P2FQRLBPFIPNXMNCE \
  | 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: 4d8bf9f873ebf45845617950f6dd8d113c84a796988fd48f9cf9d6b2755bedcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a6bb0da03246afb952d566456b98752e29880022cff20bfb9d27a5838fef38c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-15T17:45:28Z",
    "title_canon_sha256": "efd3974520ead660f215af0ac040445ab276cf4874a6a984abaa2e13b5a7dc01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07073",
    "kind": "arxiv",
    "version": 1
  }
}