Pith Number

pith:QK2VSASA

pith:2024:QK2VSASAHB6NCFIAUIGEDENBUQ

not attested not anchored not stored refs pending

Proca in an Expanding Universe

Lavinia Heisenberg, Shaun David Brocus Fell

arxiv:2406.11299 v1 · 2024-06-17 · gr-qc · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QK2VSASAHB6NCFIAUIGEDENBUQ}

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	2026-07-05T08:32:51.551879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82b5590240387cd11500a20c4191a1a41bbb67a0a059bc1e128dcf6e721c6c99

Aliases

arxiv: 2406.11299 · arxiv_version: 2406.11299v1 · doi: 10.48550/arxiv.2406.11299 · pith_short_12: QK2VSASAHB6N · pith_short_16: QK2VSASAHB6NCFIA · pith_short_8: QK2VSASA

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/QK2VSASAHB6NCFIAUIGEDENBUQ \
  | 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: 82b5590240387cd11500a20c4191a1a41bbb67a0a059bc1e128dcf6e721c6c99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12b3a89ea7eb8854e656f10faf541f176e1a41f0b8ddb100239b1b7e08c82c59",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-06-17T08:06:19Z",
    "title_canon_sha256": "52bc7d514fdb2fde9232e68d98b0a5b660d28c608fd296ec1ba6befa3efbdb04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.11299",
    "kind": "arxiv",
    "version": 1
  }
}