Pith Number

pith:5VFR4CX7

pith:2018:5VFR4CX72R2FL2S4UGD6L3V2BT

not attested not anchored not stored refs pending

Near-the-origin divergence of Klein-Gordon wave functions for hydrogen-like atoms and operator product expansion

Rui Yu, Yingsheng Huang, Yu Jia

arxiv:1812.11957 v1 · 2018-12-31 · 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{5VFR4CX72R2FL2S4UGD6L3V2BT}

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	2026-05-17T23:57:10.700058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed4b1e0affd47455ea5ca187e5eeba0ccea6869186a0b9fad7e0b5eae6c7980d

Aliases

arxiv: 1812.11957 · arxiv_version: 1812.11957v1 · doi: 10.48550/arxiv.1812.11957 · pith_short_12: 5VFR4CX72R2F · pith_short_16: 5VFR4CX72R2FL2S4 · pith_short_8: 5VFR4CX7

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/5VFR4CX72R2FL2S4UGD6L3V2BT \
  | 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: ed4b1e0affd47455ea5ca187e5eeba0ccea6869186a0b9fad7e0b5eae6c7980d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b18d9155e45b63b3b86f35193c2222fe0f481b26f7a498e33edae11f685b8637",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-12-31T18:50:26Z",
    "title_canon_sha256": "6f72573f520e9de27d97524c04ff48953db94e470f8a08be1b1cf5c6e1c7b603"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11957",
    "kind": "arxiv",
    "version": 1
  }
}