Pith Number

pith:7IN5QKIS

pith:2020:7IN5QKIS5QWVSN2I4HNBI4BAIU

not attested not anchored not stored refs pending

Absence of $\mu$-Problem in Grand Unification

Anna Jankowsky, Gia Dvali

arxiv:2009.07762 v1 · 2020-09-16 · 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{7IN5QKIS5QWVSN2I4HNBI4BAIU}

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	2026-07-05T01:35:55.660239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa1bd82912ec2d593748e1da1470204508d53dd70407e314894230e1f746dde2

Aliases

arxiv: 2009.07762 · arxiv_version: 2009.07762v1 · doi: 10.48550/arxiv.2009.07762 · pith_short_12: 7IN5QKIS5QWV · pith_short_16: 7IN5QKIS5QWVSN2I · pith_short_8: 7IN5QKIS

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/7IN5QKIS5QWVSN2I4HNBI4BAIU \
  | 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: fa1bd82912ec2d593748e1da1470204508d53dd70407e314894230e1f746dde2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b54da7ea717298c17a78936a41dfe11b2988eabc53fa2adbc56a02d1838c9e0",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2020-09-16T15:45:04Z",
    "title_canon_sha256": "9fbbec9839d335b50e5f192006ee9c4668e15d601163178032c7f85344473f5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.07762",
    "kind": "arxiv",
    "version": 1
  }
}