Pith Number

pith:7VI35CK4

pith:2016:7VI35CK45BUNWD25RAXC3YFYZC

not attested not anchored not stored refs pending

Modifications to the Etherington Distance Duality Relation and Observational Limits

Frederic P. Schuller, Hiroko Niikura, Jonas Schneider, Marcus C. Werner, Surhud More

arxiv:1612.08784 v1 · 2016-12-28 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VI35CK45BUNWD25RAXC3YFYZC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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.

Cited by

1 paper in Pith

Cosmology-Independent Constraints on the Etherington Relation and SNeIa Absolute Magnitude Evolution from DESI-DR2

Receipt and verification

First computed	2026-05-18T00:53:47.166148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd51be895ce868db0f5d882e2de0b8c89a5f270552d6137659f8113222e04a93

Aliases

arxiv: 1612.08784 · arxiv_version: 1612.08784v1 · doi: 10.48550/arxiv.1612.08784 · pith_short_12: 7VI35CK45BUN · pith_short_16: 7VI35CK45BUNWD25 · pith_short_8: 7VI35CK4

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/7VI35CK45BUNWD25RAXC3YFYZC \
  | 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: fd51be895ce868db0f5d882e2de0b8c89a5f270552d6137659f8113222e04a93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6c5dc782e420610c82fe9b4cd320f331a3cb5a30bb50422b43ee2ff079cc0dd",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-12-28T01:28:08Z",
    "title_canon_sha256": "27e5dddd0a46c02b84193ddb62729518c390e854841c355c2551091670835757"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08784",
    "kind": "arxiv",
    "version": 1
  }
}