Pith Number

pith:PPWDKZC4

pith:2011:PPWDKZC4VDPY5E2SSPWEVIKENH

not attested not anchored not stored refs pending

Magnetohydrodynamics in stationary and axisymmetric spacetimes: a fully covariant approach

Charalampos Markakis, Eric Gourgoulhon, Koji Uryu, Yoshiharu Eriguchi

arxiv:1101.3497 v2 · 2011-01-18 · gr-qc · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPWDKZC4VDPY5E2SSPWEVIKENH}

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	2026-05-18T04:22:29.275264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bec35645ca8df8e935293ec4aa14469cd6d6c03d1e6f2a60d8adbd56bad89bb

Aliases

arxiv: 1101.3497 · arxiv_version: 1101.3497v2 · doi: 10.48550/arxiv.1101.3497 · pith_short_12: PPWDKZC4VDPY · pith_short_16: PPWDKZC4VDPY5E2S · pith_short_8: PPWDKZC4

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/PPWDKZC4VDPY5E2SSPWEVIKENH \
  | 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: 7bec35645ca8df8e935293ec4aa14469cd6d6c03d1e6f2a60d8adbd56bad89bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdaf404a70c985907f4705b1eb4f56c6a0eb9fbc34d1098c26ae2e42a08211df",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-01-18T16:49:36Z",
    "title_canon_sha256": "ef9ab952befd125f1d7b04e1d89046b81c07cdbe9e6248a1e45f1f7b4bcbe2ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3497",
    "kind": "arxiv",
    "version": 2
  }
}