Pith Number

pith:DCFP3ZBV

pith:2016:DCFP3ZBV2EJ5LTLYKSKJCWJW32

not attested not anchored not stored refs pending

Gauge Coupling Unification with Hidden Photon, and Minicharged Dark Matter

Fuminobu Takahashi, Norimi Yokozaki, Ryuji Daido

arxiv:1610.00631 v2 · 2016-10-03 · hep-ph · hep-ex

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DCFP3ZBV2EJ5LTLYKSKJCWJW32}

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	2026-05-18T00:47:10.108099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

188afde435d113d5cd785494915936dea076f13c5a76d9cd2730bfb8c46549cf

Aliases

arxiv: 1610.00631 · arxiv_version: 1610.00631v2 · doi: 10.48550/arxiv.1610.00631 · pith_short_12: DCFP3ZBV2EJ5 · pith_short_16: DCFP3ZBV2EJ5LTLY · pith_short_8: DCFP3ZBV

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/DCFP3ZBV2EJ5LTLYKSKJCWJW32 \
  | 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: 188afde435d113d5cd785494915936dea076f13c5a76d9cd2730bfb8c46549cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82fac3bef89da3a531c8dfbe3f8089ebd3675da79e7b8f4614a4c2ac51ba162f",
    "cross_cats_sorted": [
      "hep-ex"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-10-03T16:50:56Z",
    "title_canon_sha256": "966b83c5bc66e9f4f05b32a430461da19db22e35d411523daded26f24de0bf69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00631",
    "kind": "arxiv",
    "version": 2
  }
}