Pith Number

pith:ABIRQ6BF

pith:2012:ABIRQ6BFAFPSC5MNAYVVUZ6347

not attested not anchored not stored refs pending

Isotropy theorem for cosmological vector fields

A. L. Maroto, C. Hallabrin, J. A. R. Cembranos, S. J. N\'u\~nez Jare\~no

arxiv:1203.6221 v2 · 2012-03-28 · astro-ph.CO · gr-qc · hep-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{ABIRQ6BFAFPSC5MNAYVVUZ6347}

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.

Cited by

1 paper in Pith

Sensitivity forecasts for gravitational-wave detectors to dark matter decaying into gravitons

Receipt and verification

First computed	2026-05-18T01:58:01.062614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0051187825015f21758d062b5a67dbe7fafde2fee05e5ed79f0776f35df183c5

Aliases

arxiv: 1203.6221 · arxiv_version: 1203.6221v2 · doi: 10.48550/arxiv.1203.6221 · pith_short_12: ABIRQ6BFAFPS · pith_short_16: ABIRQ6BFAFPSC5MN · pith_short_8: ABIRQ6BF

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/ABIRQ6BFAFPSC5MNAYVVUZ6347 \
  | 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: 0051187825015f21758d062b5a67dbe7fafde2fee05e5ed79f0776f35df183c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "891d41ec881845d16090856127c60f463edafc8a16d0477eb28736a918a0637a",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-03-28T10:35:02Z",
    "title_canon_sha256": "c1bd178d57104d39da6a4c3c5cfe4d9c989a36032a2fb734070d379f5acb0f5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6221",
    "kind": "arxiv",
    "version": 2
  }
}