Pith Number

pith:MRBJN5PN

pith:2013:MRBJN5PNDAJ76BEGQEZ64F666Q

not attested not anchored not stored refs pending

Vorticity survival in magnetised Friedmann universes

Christos G. Tsagas, Fani Dosopoulou

arxiv:1311.5213 v2 · 2013-11-20 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRBJN5PNDAJ76BEGQEZ64F666Q}

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	2026-05-18T01:46:11.969805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

644296f5ed1813ff04868133ee17def436b48ff36ae91f2418900e44333431e4

Aliases

arxiv: 1311.5213 · arxiv_version: 1311.5213v2 · doi: 10.48550/arxiv.1311.5213 · pith_short_12: MRBJN5PNDAJ7 · pith_short_16: MRBJN5PNDAJ76BEG · pith_short_8: MRBJN5PN

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/MRBJN5PNDAJ76BEGQEZ64F666Q \
  | 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: 644296f5ed1813ff04868133ee17def436b48ff36ae91f2418900e44333431e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "703fbf519b3e2c45f05d1e14a566c67b91bbf59abe866913ea78747c8f669a15",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-11-20T20:44:49Z",
    "title_canon_sha256": "16822418afbfa387e18d07ebe638d8441dbfe6d42128db96d59b9e9607e39d40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5213",
    "kind": "arxiv",
    "version": 2
  }
}