Pith Number

pith:P6EYYYG6

pith:2020:P6EYYYG6ENNKHXHIZBAZL5TCBW

not attested not anchored not stored refs pending

The imprint of ultralight vector fields on gravitational wave propagation

Alfredo D. Miravet, Antonio L. Maroto

arxiv:2012.07505 v2 · 2020-12-14 · 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{P6EYYYG6ENNKHXHIZBAZL5TCBW}

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	2026-07-05T02:55:36.418865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f898c60de235aa3dce8c84195f6620d93e8e85e6558bf499cd192144b251587

Aliases

arxiv: 2012.07505 · arxiv_version: 2012.07505v2 · doi: 10.48550/arxiv.2012.07505 · pith_short_12: P6EYYYG6ENNK · pith_short_16: P6EYYYG6ENNKHXHI · pith_short_8: P6EYYYG6

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/P6EYYYG6ENNKHXHIZBAZL5TCBW \
  | 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: 7f898c60de235aa3dce8c84195f6620d93e8e85e6558bf499cd192144b251587

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbc406e93f419dc9b11d645d9d7a62d98ed57a1b3dcf2c86de2a68154d2d7f52",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-12-14T13:40:03Z",
    "title_canon_sha256": "0c647b8e3fab8c495a0c46a05ac49bd4befbbaadc5fed48c7abf61e48232ba15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.07505",
    "kind": "arxiv",
    "version": 2
  }
}