Pith Number

pith:7RKHA5LP

pith:2012:7RKHA5LPQKV2MP2JXRCRGWQWCB

not attested not anchored not stored refs pending

Regular and non-regular solutions of the Riemann problem in ideal magnetohydrodynamics

Kazuya Takahashi, Shoichi Yamada

arxiv:1210.5584 v1 · 2012-10-20 · astro-ph.HE · math-ph · math.MP · physics.flu-dyn · physics.plasm-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7RKHA5LPQKV2MP2JXRCRGWQWCB}

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	2026-05-18T01:53:45.539539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc5470756f82aba63f49bc45135a161075a2449f550d04c624475b6d04d9ddbc

Aliases

arxiv: 1210.5584 · arxiv_version: 1210.5584v1 · doi: 10.48550/arxiv.1210.5584 · pith_short_12: 7RKHA5LPQKV2 · pith_short_16: 7RKHA5LPQKV2MP2J · pith_short_8: 7RKHA5LP

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/7RKHA5LPQKV2MP2JXRCRGWQWCB \
  | 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: fc5470756f82aba63f49bc45135a161075a2449f550d04c624475b6d04d9ddbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4191975d20652ef26041e223b1fe4b3e0ae2c76c93243f89360266a9267cad65",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.flu-dyn",
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2012-10-20T07:08:11Z",
    "title_canon_sha256": "a28f8d42b34df3a860679ef9801825a5353c9d0270b4b18b6d5d9d91e3125da3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5584",
    "kind": "arxiv",
    "version": 1
  }
}