Pith Number

pith:ZOHLSMGL

pith:2009:ZOHLSMGLV6DLMDEJP7AS6SH63V

not attested not anchored not stored refs pending

Vacuum energy between a sphere and a plane at finite temperature

I. Pirozhenko, M. Bordag

arxiv:0912.4047 v2 · 2009-12-21 · quant-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{ZOHLSMGLV6DLMDEJP7AS6SH63V}

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	2026-05-18T02:24:45.567674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb8eb930cbaf86b60c897fc12f48fedd795f03b4101fe88282770d569fefedc9

Aliases

arxiv: 0912.4047 · arxiv_version: 0912.4047v2 · doi: 10.48550/arxiv.0912.4047 · pith_short_12: ZOHLSMGLV6DL · pith_short_16: ZOHLSMGLV6DLMDEJ · pith_short_8: ZOHLSMGL

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/ZOHLSMGLV6DLMDEJP7AS6SH63V \
  | 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: cb8eb930cbaf86b60c897fc12f48fedd795f03b4101fe88282770d569fefedc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a585171047427374e581361f58f4177b4f0fee364805c72d4a105aca3eaf167e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-12-21T15:07:04Z",
    "title_canon_sha256": "d5501a37a4e0db4cea63acd1d73074c4b8ef85e04ac0d9b7d5a27530411246c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4047",
    "kind": "arxiv",
    "version": 2
  }
}