Pith Number

pith:VLIE2SFE

pith:2007:VLIE2SFEPAH2LBKJDJ3TWZWSRM

not attested not anchored not stored refs pending

Particle Production in an expanding universe dominated by dark energy fluid

A.B. Batista, J.C. Fabris, M. J. S. Houndjo

arxiv:0710.0999 v1 · 2007-10-04 · gr-qc · astro-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VLIE2SFEPAH2LBKJDJ3TWZWSRM}

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	2026-05-18T03:51:47.517924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aad04d48a4780fa585491a773b66d28b0aad295ff14c28e3cb739fd0b540db23

Aliases

arxiv: 0710.0999 · arxiv_version: 0710.0999v1 · doi: 10.48550/arxiv.0710.0999 · pith_short_12: VLIE2SFEPAH2 · pith_short_16: VLIE2SFEPAH2LBKJ · pith_short_8: VLIE2SFE

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/VLIE2SFEPAH2LBKJDJ3TWZWSRM \
  | 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: aad04d48a4780fa585491a773b66d28b0aad295ff14c28e3cb739fd0b540db23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0307721e02c085c7cade05c3145565b9b39b71eb9c23db0137b1ca253d4c9d8a",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-10-04T12:49:14Z",
    "title_canon_sha256": "7a113cf5ebcbd5b6bfc1437bee71aa4784d90ad5c01c2c19dccd1e66423b234a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0999",
    "kind": "arxiv",
    "version": 1
  }
}