Pith Number

pith:HOHRT5DB

pith:1998:HOHRT5DBVQWKBY3RQQXK5EQ67N

not attested not anchored not stored refs pending

Linking Geometric Mass Hierarchy with Threefold Family Replication

Aharon Davidson, Raymond R. Volkas, Tomer Schwartz

arxiv:hep-ph/9802235 v1 · 1998-02-03 · 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{HOHRT5DBVQWKBY3RQQXK5EQ67N}

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	2026-07-04T15:20:51.223464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b8f19f461ac2ca0e371842eae921efb54c3f997fa5878bc5f720d1f51077b0e

Aliases

arxiv: hep-ph/9802235 · arxiv_version: hep-ph/9802235v1 · doi: 10.48550/arxiv.hep-ph/9802235 · pith_short_12: HOHRT5DBVQWK · pith_short_16: HOHRT5DBVQWKBY3R · pith_short_8: HOHRT5DB

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/HOHRT5DBVQWKBY3RQQXK5EQ67N \
  | 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: 3b8f19f461ac2ca0e371842eae921efb54c3f997fa5878bc5f720d1f51077b0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21721cbe1a4c07e79840e4579fb8096cec3d126bb2ecee891308c157ff616eaf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-02-03T21:27:57Z",
    "title_canon_sha256": "d0ef17cd50ad1bf4918cfb498bd6014018efbf394b945bf48766e2357b8e2536"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9802235",
    "kind": "arxiv",
    "version": 1
  }
}