Pith Number

pith:EK5ZSN7W

pith:2022:EK5ZSN7WFGLKRO5IFFQ4H6NUHS

not attested not anchored not stored refs pending

The Riemann problem for a two-phase mixture hyperbolic system with phase function and multi-component equation of state

Christoph Matern, Gerald Warnecke, Hazem Yaghi, Maren Hantke

arxiv:2208.10850 v1 · 2022-08-23 · 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{EK5ZSN7WFGLKRO5IFFQ4H6NUHS}

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	2026-07-05T04:50:41.268611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22bb9937f62996a8bba82961c3f9b43c9759cf724d9fd254276047662bc697f5

Aliases

arxiv: 2208.10850 · arxiv_version: 2208.10850v1 · doi: 10.48550/arxiv.2208.10850 · pith_short_12: EK5ZSN7WFGLK · pith_short_16: EK5ZSN7WFGLKRO5I · pith_short_8: EK5ZSN7W

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/EK5ZSN7WFGLKRO5IFFQ4H6NUHS \
  | 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: 22bb9937f62996a8bba82961c3f9b43c9759cf724d9fd254276047662bc697f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7af779856f7d9f1baded48dbf25546dc06303e926776e91c6ed5938d6f3c16e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-08-23T10:09:04Z",
    "title_canon_sha256": "663b1e063690ed27d74096d277e00d0299831c89ba5efb0f44c55a54dcf18801"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.10850",
    "kind": "arxiv",
    "version": 1
  }
}