Pith Number

pith:Q45NBUNA

pith:2010:Q45NBUNAMKJO243325S6SFHONQ

not attested not anchored not stored refs pending

Lamb Shift for static atoms outside a Schwarzschild black hole

Hongwei Yu, Wenting Zhou

arxiv:1011.1619 v1 · 2010-11-07 · hep-th · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q45NBUNAMKJO243325S6SFHONQ}

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	2026-05-18T04:33:59.363744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

873ad0d1a06292ed737bd765e914ee6c15ce5ee9a88096ca471f5a9d9530e084

Aliases

arxiv: 1011.1619 · arxiv_version: 1011.1619v1 · doi: 10.48550/arxiv.1011.1619 · pith_short_12: Q45NBUNAMKJO · pith_short_16: Q45NBUNAMKJO2433 · pith_short_8: Q45NBUNA

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/Q45NBUNAMKJO243325S6SFHONQ \
  | 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: 873ad0d1a06292ed737bd765e914ee6c15ce5ee9a88096ca471f5a9d9530e084

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26bd14a266f34ccf0c53ecc397ef4093494733cedfc813c95d521ad80bd34f6b",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-11-07T07:20:52Z",
    "title_canon_sha256": "038c25e8c19183766632059ea0813760450420d596b4e2c519893b34f4174b86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1619",
    "kind": "arxiv",
    "version": 1
  }
}