Pith Number

pith:REDDC6UJ

pith:2011:REDDC6UJVVZQFA3FC7FHNMCFYP

not attested not anchored not stored refs pending

Testing the cosmic distance duality with X-ray gas mass fraction and supernovae data

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

arxiv:1109.2790 v2 · 2011-09-13 · 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{REDDC6UJVVZQFA3FC7FHNMCFYP}

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	2026-05-18T03:52:26.315413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8906317a89ad7302836517ca76b045c3f2f3ed8a1717b2b0a7a69871b7c2a3f2

Aliases

arxiv: 1109.2790 · arxiv_version: 1109.2790v2 · doi: 10.48550/arxiv.1109.2790 · pith_short_12: REDDC6UJVVZQ · pith_short_16: REDDC6UJVVZQFA3F · pith_short_8: REDDC6UJ

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/REDDC6UJVVZQFA3FC7FHNMCFYP \
  | 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: 8906317a89ad7302836517ca76b045c3f2f3ed8a1717b2b0a7a69871b7c2a3f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffc77c53050ddfe669ec993b648fd76c620414b8f86406ded6458ca8f3c61e28",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-09-13T14:01:03Z",
    "title_canon_sha256": "da6d3a9a723ec6cf51c6dfe7703ab14afef18f010bd7605efcb4a653a0237f00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2790",
    "kind": "arxiv",
    "version": 2
  }
}