Pith Number

pith:IZPRLW5X

pith:2010:IZPRLW5XC74OND7CWTYKVCZHWE

not attested not anchored not stored refs pending

Stochastic Samples versus Vacuum Expectation Values in Cosmology

Aggelos Tzetzias (University of Crete), N. C. Tsamis (University of Crete), R. P. Woodard (University of Florida)

arxiv:1006.5681 v1 · 2010-06-29 · 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{IZPRLW5XC74OND7CWTYKVCZHWE}

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	2026-05-18T02:33:15.742691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

465f15dbb717f8e68fe2b4f0aa8b27b13c53d322ba45563f2b5c822b4d2fecaf

Aliases

arxiv: 1006.5681 · arxiv_version: 1006.5681v1 · doi: 10.48550/arxiv.1006.5681 · pith_short_12: IZPRLW5XC74O · pith_short_16: IZPRLW5XC74OND7C · pith_short_8: IZPRLW5X

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/IZPRLW5XC74OND7CWTYKVCZHWE \
  | 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: 465f15dbb717f8e68fe2b4f0aa8b27b13c53d322ba45563f2b5c822b4d2fecaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44e46caf288281224e1cb6b43cd05d8aee56b8964cd7f8e320dff42446cc008e",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-06-29T17:14:47Z",
    "title_canon_sha256": "60e8fef95f79b557782ffad63bac10f8e27bff37367c00d1c0ef1f180be90839"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5681",
    "kind": "arxiv",
    "version": 1
  }
}