Pith Number

pith:4LSCNGQW

pith:2011:4LSCNGQWPLQ6CVQKVB3XL6OMU6

not attested not anchored not stored refs pending

Vacuum energy induced by an impenetrable flux tube of finite radius

O. B. Stepanov, V. M. Gorkavenko, Yu. A. Sitenko

arxiv:1109.3068 v2 · 2011-09-14 · 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{4LSCNGQWPLQ6CVQKVB3XL6OMU6}

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	2026-05-18T04:10:09.352259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2e4269a167ae1e1560aa87775f9cca79218f383aacef95fec32f6fe5d01a7d0

Aliases

arxiv: 1109.3068 · arxiv_version: 1109.3068v2 · doi: 10.48550/arxiv.1109.3068 · pith_short_12: 4LSCNGQWPLQ6 · pith_short_16: 4LSCNGQWPLQ6CVQK · pith_short_8: 4LSCNGQW

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/4LSCNGQWPLQ6CVQKVB3XL6OMU6 \
  | 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: e2e4269a167ae1e1560aa87775f9cca79218f383aacef95fec32f6fe5d01a7d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59fe1ebfae59f56e8311279b20e2896e373502260f671b9d7c9718ed637dffd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-09-14T13:11:24Z",
    "title_canon_sha256": "7d23d19884846d60c8c42fdcf6521dea2b3d23b5fb6d01c372b63a5c0eaac62a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3068",
    "kind": "arxiv",
    "version": 2
  }
}