Pith Number

pith:XLBAQL76

pith:2017:XLBAQL76VLU77CAMAONVJH6O6Q

not attested not anchored not stored refs pending

Sommerfeld effect as the vertex correction in three-dimensional space

Zhentao Zhang

arxiv:1701.06856 v4 · 2017-01-24 · hep-th · hep-ph · quant-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{XLBAQL76VLU77CAMAONVJH6O6Q}

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	2026-05-18T00:27:09.712782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bac2082ffeaae9ff880c039b549fcef414d42d08094b7731ba1f1b3a70491470

Aliases

arxiv: 1701.06856 · arxiv_version: 1701.06856v4 · doi: 10.48550/arxiv.1701.06856 · pith_short_12: XLBAQL76VLU7 · pith_short_16: XLBAQL76VLU77CAM · pith_short_8: XLBAQL76

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/XLBAQL76VLU77CAMAONVJH6O6Q \
  | 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: bac2082ffeaae9ff880c039b549fcef414d42d08094b7731ba1f1b3a70491470

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ca55f10f42dd0d1c3c85d0347f53803b1b987591756cc3fe224661e1647726b",
    "cross_cats_sorted": [
      "hep-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-01-24T13:10:07Z",
    "title_canon_sha256": "bd76b39f3e370a3f863825d25f748166ea41abf429f9a57584f71f8bb77808e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06856",
    "kind": "arxiv",
    "version": 4
  }
}