Pith Number

pith:7BF4AIOE

pith:2026:7BF4AIOEX247T77PYJ6ITKAEXX

not attested not anchored not stored refs pending

What Naturalness Measures: Fine-Tuning and Informational Invariants in Cosmology and Dark Matter

Stefano Profumo

arxiv:2606.29660 v1 · 2026-06-29 · physics.hist-ph · astro-ph.CO · hep-ph · 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{7BF4AIOEX247T77PYJ6ITKAEXX}

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	2026-06-30T02:17:29.268605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f84bc021c4beb9f9ffefc27c89a804bde684be1845bbcceb1f5478f8653be015

Aliases

arxiv: 2606.29660 · arxiv_version: 2606.29660v1 · doi: 10.48550/arxiv.2606.29660 · pith_short_12: 7BF4AIOEX247 · pith_short_16: 7BF4AIOEX247T77P · pith_short_8: 7BF4AIOE

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/7BF4AIOEX247T77PYJ6ITKAEXX \
  | 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: f84bc021c4beb9f9ffefc27c89a804bde684be1845bbcceb1f5478f8653be015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab8c2cd21288a4ce6a9cbb1206ccb2bd3e1307abd561034649f530b18a8d6a7f",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.hist-ph",
    "submitted_at": "2026-06-29T00:09:05Z",
    "title_canon_sha256": "57e520039ff2e1db6c0afc2aa97a242ec1dd9b95f7c4cce8cb0e5e5015164476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29660",
    "kind": "arxiv",
    "version": 1
  }
}