Pith Number

pith:L5E4T5VC

pith:2011:L5E4T5VCPHE3B7WNBXCEWBN4ZG

not attested not anchored not stored refs pending

Virial estimator for dark energy

A.D. Chernin, G.G. Byrd, L.M. Domozhilova, M.J. Valtonen, P. Teerikorpi, V.P. Dolgachev

arxiv:1109.1215 v1 · 2011-09-06 · 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{L5E4T5VCPHE3B7WNBXCEWBN4ZG}

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	2026-05-18T02:00:38.940464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f49c9f6a279c9b0fecd0dc44b05bcc983c19370d13cd86e70a64846120dd0d4

Aliases

arxiv: 1109.1215 · arxiv_version: 1109.1215v1 · doi: 10.48550/arxiv.1109.1215 · pith_short_12: L5E4T5VCPHE3 · pith_short_16: L5E4T5VCPHE3B7WN · pith_short_8: L5E4T5VC

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/L5E4T5VCPHE3B7WNBXCEWBN4ZG \
  | 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: 5f49c9f6a279c9b0fecd0dc44b05bcc983c19370d13cd86e70a64846120dd0d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "735f996190b336fd113efd2898eddd142bd288db4367ab894efe2ca22a6610a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-09-06T15:46:24Z",
    "title_canon_sha256": "ab35cb264855c33f9fda2a26f13d0989358ed9929cc03c24206a4fc8f56cedca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1215",
    "kind": "arxiv",
    "version": 1
  }
}