Pith Number

pith:25QLPPR2

pith:1992:25QLPPR2JJMYJ7456UEAANOYCV

not attested not anchored not stored refs pending

Uncertainties in Coupling Constant Unification

Nir Polonsky, Paul Langacker

arxiv:hep-ph/9210235 v1 · 1992-10-14 · 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{25QLPPR2JJMYJ7456UEAANOYCV}

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.

Cited by

2 papers in Pith

The infrared or ultraviolet scale for a gauge theory

The Standard Model partial unification scale as a guide to new physics model building

Receipt and verification

First computed	2026-07-04T15:54:58.255031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d760b7be3a4a5984ff9df5080035d815720b240de98bd8294f35b51738923e00

Aliases

arxiv: hep-ph/9210235 · arxiv_version: hep-ph/9210235v1 · doi: 10.48550/arxiv.hep-ph/9210235 · pith_short_12: 25QLPPR2JJMY · pith_short_16: 25QLPPR2JJMYJ745 · pith_short_8: 25QLPPR2

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/25QLPPR2JJMYJ7456UEAANOYCV \
  | 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: d760b7be3a4a5984ff9df5080035d815720b240de98bd8294f35b51738923e00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dbe5518fafc7de90fe36ea010452362be0c80571c32ca30aee6bf94707829ca",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1992-10-14T18:58:00Z",
    "title_canon_sha256": "9c9cce079255dc61c9f13da554a7d128e75308634c6e547f188f90d131b4263a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9210235",
    "kind": "arxiv",
    "version": 1
  }
}