Pith Number

pith:424VHSWN

pith:2000:424VHSWNHTKIM4ZSUFOGUJAGIR

not attested not anchored not stored refs pending

The exact solution of the Riemann problem with non-zero tangential velocities in relativistic hydrodynamics

Ewald Mueller, Jose A. Pons, Jose Ma. Marti

arxiv:astro-ph/0005038 v1 · 2000-05-02 · astro-ph · 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{424VHSWNHTKIM4ZSUFOGUJAGIR}

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	2026-05-18T00:44:20.093428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6b953cacd3cd4867332a15c6a240644416a311b9e5587192e5b60b3a9a9165a

Aliases

arxiv: astro-ph/0005038 · arxiv_version: astro-ph/0005038v1 · doi: 10.48550/arxiv.astro-ph/0005038 · pith_short_12: 424VHSWNHTKI · pith_short_16: 424VHSWNHTKIM4ZS · pith_short_8: 424VHSWN

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/424VHSWNHTKIM4ZSUFOGUJAGIR \
  | 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: e6b953cacd3cd4867332a15c6a240644416a311b9e5587192e5b60b3a9a9165a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f0e90f8d951903a79128396a2420b9e891f6b833b520c9d24d8624b6baab0d1",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-05-02T13:58:03Z",
    "title_canon_sha256": "a7415b58baf029b9eea51e5308974a06f667cd141890621466348b9eb9f1ea6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0005038",
    "kind": "arxiv",
    "version": 1
  }
}