Pith Number

pith:ZGKTMGIR

pith:2011:ZGKTMGIRERZJOUCPQY5HFOVSG4

not attested not anchored not stored refs pending

Dynamics of the quantum vacuum: Cosmology as relaxation to the equilibrium state

F.R. Klinkhamer, G.E.Volovik

arxiv:1102.3152 v4 · 2011-02-15 · gr-qc · 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{ZGKTMGIRERZJOUCPQY5HFOVSG4}

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	2026-05-18T04:11:51.624897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c995361911247297504f863a72bab2373443bacecd5cb959090b44fbe4e0d7cc

Aliases

arxiv: 1102.3152 · arxiv_version: 1102.3152v4 · doi: 10.48550/arxiv.1102.3152 · pith_short_12: ZGKTMGIRERZJ · pith_short_16: ZGKTMGIRERZJOUCP · pith_short_8: ZGKTMGIR

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/ZGKTMGIRERZJOUCPQY5HFOVSG4 \
  | 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: c995361911247297504f863a72bab2373443bacecd5cb959090b44fbe4e0d7cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54051cc8956e85a84b57eae20bafcda7f4b9034732c3ffb1e7ba729dee2f51df",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-02-15T18:37:11Z",
    "title_canon_sha256": "96c0fd548bbac36c3d546a2d4c9ea0dffe8791ffc068858041477bdc781d8da8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3152",
    "kind": "arxiv",
    "version": 4
  }
}