Pith Number

pith:HJOSAHHH

pith:2021:HJOSAHHHB43F47IPDTLB6RSHDP

not attested not anchored not stored refs pending

Dark matter stability at fixed points in a modular $A_4$ symmetry

Hiroshi Okada, Tatsuo Kobayashi, Yuta Orikasa

arxiv:2111.05674 v2 · 2021-11-10 · 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{HJOSAHHHB43F47IPDTLB6RSHDP}

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	2026-07-05T03:31:32.469784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a5d201ce70f365e7d0f1cd61f46471bedc94e2ec29884c17cfaeb33afea4c5d

Aliases

arxiv: 2111.05674 · arxiv_version: 2111.05674v2 · doi: 10.48550/arxiv.2111.05674 · pith_short_12: HJOSAHHHB43F · pith_short_16: HJOSAHHHB43F47IP · pith_short_8: HJOSAHHH

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/HJOSAHHHB43F47IPDTLB6RSHDP \
  | 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: 3a5d201ce70f365e7d0f1cd61f46471bedc94e2ec29884c17cfaeb33afea4c5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abb99f0c8579d5968b715174e2d9392ab62158e7075368303b9e3cdfeeef4b40",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-11-10T12:53:41Z",
    "title_canon_sha256": "74777e9c802f4d4cf23d4bd0b6235da5451b5bc5a069f5a186eb6615c732df43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.05674",
    "kind": "arxiv",
    "version": 2
  }
}