Pith Number

pith:F4KFG2XS

pith:2009:F4KFG2XSETPGY2GHZNEXVMORAX

not attested not anchored not stored refs pending

Dark energy from quantum fluctuations

Bogus{\l}aw Broda, Micha{\l} Szanecki

arxiv:0910.5145 v2 · 2009-10-27 · gr-qc · astro-ph.CO · 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{F4KFG2XSETPGY2GHZNEXVMORAX}

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	2026-05-18T02:34:12.767467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f14536af224de6c68c7cb497ab1d105f11c276faff87f257724ed39c3544864

Aliases

arxiv: 0910.5145 · arxiv_version: 0910.5145v2 · doi: 10.48550/arxiv.0910.5145 · pith_short_12: F4KFG2XSETPG · pith_short_16: F4KFG2XSETPGY2GH · pith_short_8: F4KFG2XS

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/F4KFG2XSETPGY2GHZNEXVMORAX \
  | 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: 2f14536af224de6c68c7cb497ab1d105f11c276faff87f257724ed39c3544864

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94d0b24cdbd0ba812a0aeee607ff80506c2ceb00c462d1de69ec58781fcb321b",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-10-27T15:33:48Z",
    "title_canon_sha256": "2c715dd32eebca972fb1270c7eff9125a143504fa8e40119e38b526165847801"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5145",
    "kind": "arxiv",
    "version": 2
  }
}