Pith Number

pith:SUFO4TAE

pith:2018:SUFO4TAEZUOVGYYPITUX25YMKX

not attested not anchored not stored refs pending

Gauge invariance for a class of tree diagrams in the standard model

Sau Lan Wu, Tai Tsun Wu

arxiv:1812.02740 v1 · 2018-12-06 · 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{SUFO4TAEZUOVGYYPITUX25YMKX}

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	2026-05-17T23:58:51.982267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

950aee4c04cd1d53630f44e97d770c55d5014707bf719e514a6522937d7d1e00

Aliases

arxiv: 1812.02740 · arxiv_version: 1812.02740v1 · doi: 10.48550/arxiv.1812.02740 · pith_short_12: SUFO4TAEZUOV · pith_short_16: SUFO4TAEZUOVGYYP · pith_short_8: SUFO4TAE

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/SUFO4TAEZUOVGYYPITUX25YMKX \
  | 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: 950aee4c04cd1d53630f44e97d770c55d5014707bf719e514a6522937d7d1e00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a1b2784e0104fabd3791e3204f5da138b4d7af805d1d7733f2e241f5b91619e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-12-06T12:49:36Z",
    "title_canon_sha256": "a5720dbf165f3db2dbc61712375cdf5c7f0b3dca1742adbf2c3d381a253160f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.02740",
    "kind": "arxiv",
    "version": 1
  }
}