Pith Number

pith:CFSFCAB4

pith:2013:CFSFCAB4Z5B72RU6A7UIXVNUFA

not attested not anchored not stored refs pending

Cosmological perturbations in extended electromagnetism. General gauge invariant approach

Diego S\'aez, Roberto Dale

arxiv:1301.2816 v1 · 2013-01-13 · 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{CFSFCAB4Z5B72RU6A7UIXVNUFA}

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	2026-05-18T03:36:35.109907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

116451003ccf43fd469e07e88bd5b4282e5fa50ee4e47836f2efb64c2ded85a2

Aliases

arxiv: 1301.2816 · arxiv_version: 1301.2816v1 · doi: 10.48550/arxiv.1301.2816 · pith_short_12: CFSFCAB4Z5B7 · pith_short_16: CFSFCAB4Z5B72RU6 · pith_short_8: CFSFCAB4

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/CFSFCAB4Z5B72RU6A7UIXVNUFA \
  | 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: 116451003ccf43fd469e07e88bd5b4282e5fa50ee4e47836f2efb64c2ded85a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cc146d957d2e9ba269c044604b5c0c4eaf882d6559036f8e653d7ad8f91d12e",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-01-13T20:33:45Z",
    "title_canon_sha256": "8ebb6cc1902a6e161e2787053781623ec999d63b8dc03d692ea1ceeb74ea5fe0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2816",
    "kind": "arxiv",
    "version": 1
  }
}