Pith Number

pith:U7IE3JVH

pith:2007:U7IE3JVH43SAMRXPBFUIIKL75M

not attested not anchored not stored refs pending

Reparameterization invariance of NRQED self-energy corrections and improved theory for excited D states in hydrogenlike systems

B. J. Wundt, U. D. Jentschura

arxiv:0710.1864 v1 · 2007-10-09 · 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{U7IE3JVH43SAMRXPBFUIIKL75M}

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	2026-05-18T03:13:56.685341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7d04da6a7e6e40646ef096884297feb2dc03f5dea02fb873584779e09d36983

Aliases

arxiv: 0710.1864 · arxiv_version: 0710.1864v1 · doi: 10.48550/arxiv.0710.1864 · pith_short_12: U7IE3JVH43SA · pith_short_16: U7IE3JVH43SAMRXP · pith_short_8: U7IE3JVH

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/U7IE3JVH43SAMRXPBFUIIKL75M \
  | 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: a7d04da6a7e6e40646ef096884297feb2dc03f5dea02fb873584779e09d36983

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f0b6a0943139a8822437302dde7087965020c48d5acbe9e6ea71f7fedb22beb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2007-10-09T19:44:22Z",
    "title_canon_sha256": "281ecb7662d514a035b3052b330e2eacc2787791ad3c10b084295068bafbcac2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.1864",
    "kind": "arxiv",
    "version": 1
  }
}