Pith Number

pith:JHKF2PQT

pith:2016:JHKF2PQTMMBCW7W5JDL5AS7KQF

not attested not anchored not stored refs pending

Revisiting dark energy models using differential ages of galaxies

Amitabha Mukherjee, Deepak Jain, Marek Biesiada, Nisha Rani, Shobhit Mahajan

arxiv:1612.07492 v2 · 2016-12-22 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JHKF2PQTMMBCW7W5JDL5AS7KQF}

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	2026-05-18T00:48:46.777089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49d45d3e1363022b7edd48d7d04bea816b537607bd1fecd3605f6e507560dd0b

Aliases

arxiv: 1612.07492 · arxiv_version: 1612.07492v2 · doi: 10.48550/arxiv.1612.07492 · pith_short_12: JHKF2PQTMMBC · pith_short_16: JHKF2PQTMMBCW7W5 · pith_short_8: JHKF2PQT

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/JHKF2PQTMMBCW7W5JDL5AS7KQF \
  | 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: 49d45d3e1363022b7edd48d7d04bea816b537607bd1fecd3605f6e507560dd0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "deeead0b50f9724a92b4a77fbb1162a3948e91de49af6f10979365d4ced19d88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-12-22T08:57:11Z",
    "title_canon_sha256": "8afb3c37c6575c7eb00bf23a57a7d95ec07d75da8a24d4f79fe6477138855f2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07492",
    "kind": "arxiv",
    "version": 2
  }
}