Pith Number

pith:P3UOKIII

pith:2021:P3UOKIIIN2GJJESB5XQ2WKXWFI

not attested not anchored not stored refs pending

Relic Cosmological Vector Fields and Inflationary Gravitational Waves

Avery J. Tishue, Robert R. Caldwell

arxiv:2105.08073 v1 · 2021-05-17 · 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{P3UOKIIIN2GJJESB5XQ2WKXWFI}

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

Birefringence in fermion-attenuated gravitational wave power spectrum

Receipt and verification

First computed	2026-07-05T03:16:15.816125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ee8e521086e8c949241ede1ab2af62a0b060725feb5ce7caf786a16a94589a0

Aliases

arxiv: 2105.08073 · arxiv_version: 2105.08073v1 · doi: 10.48550/arxiv.2105.08073 · pith_short_12: P3UOKIIIN2GJ · pith_short_16: P3UOKIIIN2GJJESB · pith_short_8: P3UOKIII

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/P3UOKIIIN2GJJESB5XQ2WKXWFI \
  | 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: 7ee8e521086e8c949241ede1ab2af62a0b060725feb5ce7caf786a16a94589a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d34253f5b83743ce0c7a13769fffe48a065ec44c4f13e81e597b1b600d449703",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-05-17T18:00:02Z",
    "title_canon_sha256": "004dae0083a13a70337bdcccd7f82895a589cc1f506a6d7394d3aba458eb0440"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.08073",
    "kind": "arxiv",
    "version": 1
  }
}