Pith Number

pith:3LX7K5YD

pith:2016:3LX7K5YDU5YTYAGPZDLNPAEDDG

not attested not anchored not stored refs pending

Running vacuum in the Universe and the time variation of the fundamental constants of Nature

Harald Fritzsch, Joan Sola, Rafael C. Nunes

arxiv:1605.06104 v4 · 2016-05-19 · hep-ph · astro-ph.CO · 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{3LX7K5YDU5YTYAGPZDLNPAEDDG}

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	2026-05-18T00:47:33.767119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daeff57703a7713c00cfc8d6d780831990307bd312c1cb2c963afec0a0a9b45c

Aliases

arxiv: 1605.06104 · arxiv_version: 1605.06104v4 · doi: 10.48550/arxiv.1605.06104 · pith_short_12: 3LX7K5YDU5YT · pith_short_16: 3LX7K5YDU5YTYAGP · pith_short_8: 3LX7K5YD

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/3LX7K5YDU5YTYAGPZDLNPAEDDG \
  | 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: daeff57703a7713c00cfc8d6d780831990307bd312c1cb2c963afec0a0a9b45c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8564fa49c6e4ed3a807faa98c29d39a2322364ba278d109e13d41debff425326",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-05-19T19:55:39Z",
    "title_canon_sha256": "8e5bcf41615bcb66e61424caa7bb78bb738c1490227b23bfe8526f83b687b9fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06104",
    "kind": "arxiv",
    "version": 4
  }
}