Pith Number

pith:CYBADE6B

pith:2015:CYBADE6BGWKA2SZUTQH6XLCU4W

not attested not anchored not stored refs pending

A mathematical model of the discrete 3-disk for the 3-dimensional Universe

Tetsuyuki Yukawa

arxiv:1505.03265 v3 · 2015-05-13 · 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{CYBADE6BGWKA2SZUTQH6XLCU4W}

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	2026-05-18T01:24:33.032281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16020193c135940d4b349c0febac54e598ab942455dcc181c4bbeb09f057ec34

Aliases

arxiv: 1505.03265 · arxiv_version: 1505.03265v3 · doi: 10.48550/arxiv.1505.03265 · pith_short_12: CYBADE6BGWKA · pith_short_16: CYBADE6BGWKA2SZU · pith_short_8: CYBADE6B

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/CYBADE6BGWKA2SZUTQH6XLCU4W \
  | 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: 16020193c135940d4b349c0febac54e598ab942455dcc181c4bbeb09f057ec34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7098d0aade79a7015b8569490d40e6cb3f4f52b0a5889280bb41fe406a1795fb",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-05-13T07:52:19Z",
    "title_canon_sha256": "cbd109357b817c72bac46865904f1d18da323b769b5539b25900f8091f19f20e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03265",
    "kind": "arxiv",
    "version": 3
  }
}