Pith Number

pith:GZKR3S7L

pith:2012:GZKR3S7LR5ZPHZLYOKPHDXVXTB

not attested not anchored not stored refs pending

A test for cosmic distance duality

J. S. Alcaniz, R. F. L. Holanda, R. S. Goncalves

arxiv:1201.2378 v2 · 2012-01-11 · 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{GZKR3S7LR5ZPHZLYOKPHDXVXTB}

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	2026-05-18T03:52:26.146216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36551dcbeb8f72f3e578729e71deb79871cf50e6bcbae7736cf20321be64e444

Aliases

arxiv: 1201.2378 · arxiv_version: 1201.2378v2 · doi: 10.48550/arxiv.1201.2378 · pith_short_12: GZKR3S7LR5ZP · pith_short_16: GZKR3S7LR5ZPHZLY · pith_short_8: GZKR3S7L

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/GZKR3S7LR5ZPHZLYOKPHDXVXTB \
  | 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: 36551dcbeb8f72f3e578729e71deb79871cf50e6bcbae7736cf20321be64e444

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75753d23cd0d316d9d4245c0a17da1c9fbce96d7cc03038e1b4a987992de2487",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-01-11T19:02:25Z",
    "title_canon_sha256": "d1b39a8e118d8572cd59d143a191a15dcb272dd15c3bb5122acf755bf0803e61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2378",
    "kind": "arxiv",
    "version": 2
  }
}