Pith Number

pith:JV7JM7NO

pith:2000:JV7JM7NO4E6CP6SNBSFKMTTXG3

not attested not anchored not stored refs pending

Vacuum polarization in the Schwarzschild spacetime and dimensional reduction

A. Fabbri, A. Zelnikov, P. Nicolini, P. Sutton, R. Balbinot, V. Frolov

arxiv:hep-th/0012048 v2 · 2000-12-06 · 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{JV7JM7NO4E6CP6SNBSFKMTTXG3}

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.

Cited by

4 papers in Pith

Quantum fate of the Choptuik naked singularity

Hawking radiation from a semi-classical Schwarzschild black hole

The Fate of Nucleated Black Holes in de Sitter Quantum Gravity

Receipt and verification

First computed	2026-07-04T15:23:14.028591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d7e967daee13c27fa4d0c8aa64e7736e50fb4cadbb7101027c03e190ffa8ec3

Aliases

arxiv: hep-th/0012048 · arxiv_version: hep-th/0012048v2 · doi: 10.48550/arxiv.hep-th/0012048 · pith_short_12: JV7JM7NO4E6C · pith_short_16: JV7JM7NO4E6CP6SN · pith_short_8: JV7JM7NO

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/JV7JM7NO4E6CP6SNBSFKMTTXG3 \
  | 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: 4d7e967daee13c27fa4d0c8aa64e7736e50fb4cadbb7101027c03e190ffa8ec3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "038a30b0eb51cc5219e39b6edeea185dedd861c5a22a68d3aa5117386d14767e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-12-06T19:19:06Z",
    "title_canon_sha256": "c70d8d87e860e186805102092e5685da46fb640186b2e96281b2a71fce49d790"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0012048",
    "kind": "arxiv",
    "version": 2
  }
}