Pith Number

pith:GP7VD3PP

pith:2018:GP7VD3PP7K36XC77TMPNHTC26P

not attested not anchored not stored refs pending

Calculations of the Sommerfeld Effect in a Unified Wave Function Framework

Gao-Liang Zhou, Yi-Lei Tang

arxiv:1806.10124 v3 · 2018-06-26 · hep-ph · 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{GP7VD3PP7K36XC77TMPNHTC26P}

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	2026-05-17T23:52:41.671200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33ff51edeffab7eb8bff9b1ed3cc5af3f5d18da32dc18925255be6e3bc64ba22

Aliases

arxiv: 1806.10124 · arxiv_version: 1806.10124v3 · doi: 10.48550/arxiv.1806.10124 · pith_short_12: GP7VD3PP7K36 · pith_short_16: GP7VD3PP7K36XC77 · pith_short_8: GP7VD3PP

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/GP7VD3PP7K36XC77TMPNHTC26P \
  | 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: 33ff51edeffab7eb8bff9b1ed3cc5af3f5d18da32dc18925255be6e3bc64ba22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d155dcda016ff2772d63636e313e8808056a3d9f2349901dc0e9319c96a35a02",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-06-26T17:43:37Z",
    "title_canon_sha256": "04d1ba0de31c0c2df3f3089082939015250ebf7659f0024383e5751fa2bd6ac4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10124",
    "kind": "arxiv",
    "version": 3
  }
}