Pith Number

pith:AGBAZAWH

pith:2026:AGBAZAWHJWKL4YBLTA3F25Y2O2

not attested not anchored not stored refs pending

The Degree of Fine-Tuning Needed for a Viable Universe: Not Fragile?

Fred C. Adams

arxiv:2607.23374 v1 · 2026-07-25 · 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{AGBAZAWHJWKL4YBLTA3F25Y2O2}

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	2026-07-28T01:22:49.668248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01820c82c74d94be602b98365d771a7680180e8f014282a63e8bf690d05ed824

Aliases

arxiv: 2607.23374 · arxiv_version: 2607.23374v1 · doi: 10.48550/arxiv.2607.23374 · pith_short_12: AGBAZAWHJWKL · pith_short_16: AGBAZAWHJWKL4YBL · pith_short_8: AGBAZAWH

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/AGBAZAWHJWKL4YBLTA3F25Y2O2 \
  | 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: 01820c82c74d94be602b98365d771a7680180e8f014282a63e8bf690d05ed824

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfb117ba1bcbda59bfd9481a0d8a66edfa7f42487f448af0501e6ebc983f3b7e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-25T21:36:17Z",
    "title_canon_sha256": "613ecc8d618dd52d168b12f9a8a42b6d46713877b514d21d8cd77fe3780d1d5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23374",
    "kind": "arxiv",
    "version": 1
  }
}