Pith Number

pith:W7H3PS5N

pith:2024:W7H3PS5N2KCDXIQHTUV5KDITSU

not attested not anchored not stored refs pending

Intrinsic Torsion, Extrinsic Torsion, and the Hubble Parameter

Brett McInnes

arxiv:2412.08990 v2 · 2024-12-12 · gr-qc · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W7H3PS5N2KCDXIQHTUV5KDITSU}

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	2026-07-05T10:09:50.555439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7cfb7cbadd2843ba2079d2bd50d13953a4ce1adf963dbb43d3b2ae9e006715e

Aliases

arxiv: 2412.08990 · arxiv_version: 2412.08990v2 · doi: 10.48550/arxiv.2412.08990 · pith_short_12: W7H3PS5N2KCD · pith_short_16: W7H3PS5N2KCDXIQH · pith_short_8: W7H3PS5N

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/W7H3PS5N2KCDXIQHTUV5KDITSU \
  | 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: b7cfb7cbadd2843ba2079d2bd50d13953a4ce1adf963dbb43d3b2ae9e006715e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb6ab919694de95101b0a4670a8024aef51c596075370f63fd3c2121d39acf01",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-12-12T06:43:19Z",
    "title_canon_sha256": "dc95899543d8bc9380503618ab1fc262a8a3eed3baaceed6ed04486d995834c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.08990",
    "kind": "arxiv",
    "version": 2
  }
}