Pith Number

pith:BYRDRFZ4

pith:2010:BYRDRFZ4MHHABWRKAX7DL6QT2Q

not attested not anchored not stored refs pending

Is Hubble's Expansion due to Dark Energy

Anirudh Pradhan, R. C. Gupta

arxiv:1010.3826 v1 · 2010-10-19 · physics.gen-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{BYRDRFZ4MHHABWRKAX7DL6QT2Q}

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	2026-05-18T04:39:07.473943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e2238973c61ce00da2a05fe35fa13d40662e4c8ece510b0b6b8c52330d8b74e

Aliases

arxiv: 1010.3826 · arxiv_version: 1010.3826v1 · doi: 10.48550/arxiv.1010.3826 · pith_short_12: BYRDRFZ4MHHA · pith_short_16: BYRDRFZ4MHHABWRK · pith_short_8: BYRDRFZ4

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/BYRDRFZ4MHHABWRKAX7DL6QT2Q \
  | 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: 0e2238973c61ce00da2a05fe35fa13d40662e4c8ece510b0b6b8c52330d8b74e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4c542b3828cf52ad363e831e26d52fbb18d48f351121599e0b176137f6fccab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2010-10-19T08:35:27Z",
    "title_canon_sha256": "223ddc1de2dbff264bc869addd704fe0bdc1a28846aa85d7cca937437a8d902e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3826",
    "kind": "arxiv",
    "version": 1
  }
}