Pith Number

pith:TQKECYUO

pith:2012:TQKECYUOL7T4GRHCZVEI732F3C

not attested not anchored not stored refs pending

Cosmic distance duality and cosmic transparency

Deepak Jain, Remya Nair, Sanjay Jhingan

arxiv:1210.2642 v2 · 2012-10-09 · 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{TQKECYUOL7T4GRHCZVEI732F3C}

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.

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	2026-05-18T01:54:03.982434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c1441628e5fe7c344e2cd488fef45d8b510c633589a73708492baddc0089cff

Aliases

arxiv: 1210.2642 · arxiv_version: 1210.2642v2 · doi: 10.48550/arxiv.1210.2642 · pith_short_12: TQKECYUOL7T4 · pith_short_16: TQKECYUOL7T4GRHC · pith_short_8: TQKECYUO

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/TQKECYUOL7T4GRHCZVEI732F3C \
  | 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: 9c1441628e5fe7c344e2cd488fef45d8b510c633589a73708492baddc0089cff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd1c6329d1039cd008a198e686900d57122f9c0cbd79abe3652359588690df02",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-10-09T15:30:51Z",
    "title_canon_sha256": "96259357e6eb1befa4d2ee4ed482916276d73b73bc2c570958e2f6810ea5c770"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2642",
    "kind": "arxiv",
    "version": 2
  }
}