Pith Number

pith:JAT7FGLI

pith:2021:JAT7FGLILZFDC6CFZ7Y3U3Q4AX

not attested not anchored not stored refs pending

Modular $A_4$ symmetry and light dark matter with gauged $U(1)_{B-L}$

Hiroshi Okada, Keiko I. Nagao

arxiv:2108.09984 v1 · 2021-08-23 · 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{JAT7FGLILZFDC6CFZ7Y3U3Q4AX}

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	2026-07-05T03:08:00.799300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4827f299685e4a317845cff1ba6e1c05ea4bd6390443825b697b6577047ceff0

Aliases

arxiv: 2108.09984 · arxiv_version: 2108.09984v1 · doi: 10.48550/arxiv.2108.09984 · pith_short_12: JAT7FGLILZFD · pith_short_16: JAT7FGLILZFDC6CF · pith_short_8: JAT7FGLI

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/JAT7FGLILZFDC6CFZ7Y3U3Q4AX \
  | 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: 4827f299685e4a317845cff1ba6e1c05ea4bd6390443825b697b6577047ceff0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5e35794b865640b974c576285cc296e5c2515d63ce48f81e0961030099d527b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-08-23T07:38:58Z",
    "title_canon_sha256": "2accbf7686a9480fb0f7227f9e6b57263b3608403ba2bf17d45aabe000022fbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.09984",
    "kind": "arxiv",
    "version": 1
  }
}