Pith Number

pith:WH7CKFQP

pith:2010:WH7CKFQPCL5XM6YG5OR6AZRL77

not attested not anchored not stored refs pending

Dark energy with non-adiabatic sound speed: initial conditions and detectability

Guillermo Ballesteros, Julien Lesgourgues

arxiv:1004.5509 v3 · 2010-04-30 · astro-ph.CO · hep-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{WH7CKFQPCL5XM6YG5OR6AZRL77}

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	2026-05-18T04:30:48.473032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1fe25160f12fb767b06eba3e0662bffd01af0a6f52709cdcef0c869a0d1a87d

Aliases

arxiv: 1004.5509 · arxiv_version: 1004.5509v3 · doi: 10.48550/arxiv.1004.5509 · pith_short_12: WH7CKFQPCL5X · pith_short_16: WH7CKFQPCL5XM6YG · pith_short_8: WH7CKFQP

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/WH7CKFQPCL5XM6YG5OR6AZRL77 \
  | 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: b1fe25160f12fb767b06eba3e0662bffd01af0a6f52709cdcef0c869a0d1a87d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12eaf06870528d45dbc9d375c5c0e7f40645dcf74d07fff8c32a0350b82f4eb4",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-04-30T11:57:36Z",
    "title_canon_sha256": "3f321a059b2994320385021cd23707b7f2871b0390b1ac5d9b4a02d8680b0b2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5509",
    "kind": "arxiv",
    "version": 3
  }
}