Pith Number

pith:6PBZKF2Q

pith:1998:6PBZKF2QRED37VSFTSQUJGFFZI

not attested not anchored not stored refs pending

Hierarchy problem in the shell-Universe model

Merab Gogberashvili (Tbilisi Institute of Physics)

arxiv:hep-ph/9812296 v1 · 1998-12-09 · hep-ph · gr-qc · 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{6PBZKF2QRED37VSFTSQUJGFFZI}

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	2026-07-04T16:09:37.539828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3c39517508907bfd6459ca14498a5ca373c024fc79b7e2a1d0ed8867be66886

Aliases

arxiv: hep-ph/9812296 · arxiv_version: hep-ph/9812296v1 · doi: 10.48550/arxiv.hep-ph/9812296 · pith_short_12: 6PBZKF2QRED3 · pith_short_16: 6PBZKF2QRED37VSF · pith_short_8: 6PBZKF2Q

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/6PBZKF2QRED37VSFTSQUJGFFZI \
  | 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: f3c39517508907bfd6459ca14498a5ca373c024fc79b7e2a1d0ed8867be66886

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06b24755e257e4a0c1ff4f36c581c7213e6f1fb30edada7a76b10752dd8bc37f",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-12-09T15:04:50Z",
    "title_canon_sha256": "b7cff9907bb3348eb0f0b551a6d5683ea985adc9122059c720e942aae4d9b19f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9812296",
    "kind": "arxiv",
    "version": 1
  }
}