Pith Number

pith:2KKGC7ZQ

pith:2015:2KKGC7ZQCI4DZ4HM6VB75G3CBM

not attested not anchored not stored refs pending

Fundamental constants and cosmic vacuum: the micro and macro connection

Harald Fritzsch, Joan Sola

arxiv:1502.01411 v2 · 2015-02-05 · gr-qc · astro-ph.CO · 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{2KKGC7ZQCI4DZ4HM6VB75G3CBM}

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	2026-05-18T01:37:13.877806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d294617f3012383cf0ecf543fe9b620b25ead9c1ec1c5fce4561bd7a61eab499

Aliases

arxiv: 1502.01411 · arxiv_version: 1502.01411v2 · doi: 10.48550/arxiv.1502.01411 · pith_short_12: 2KKGC7ZQCI4D · pith_short_16: 2KKGC7ZQCI4DZ4HM · pith_short_8: 2KKGC7ZQ

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/2KKGC7ZQCI4DZ4HM6VB75G3CBM \
  | 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: d294617f3012383cf0ecf543fe9b620b25ead9c1ec1c5fce4561bd7a61eab499

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "680bd89d80968586d2432b44241004940ec338a6d537c83b86175586cb447a05",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-02-05T02:26:19Z",
    "title_canon_sha256": "605413553970623c4ae7a9852c37594f2bf8dc7496721bce92fe835077662010"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01411",
    "kind": "arxiv",
    "version": 2
  }
}