Pith Number

pith:F2N7TNYJ

pith:2006:F2N7TNYJA2LNCVQFYNJBUXZEPQ

not attested not anchored not stored refs pending

CMB Alignment in Multi-Connected Universes

F. Steiner, H. Then, R. Aurich, S. Lustig

arxiv:astro-ph/0612308 v1 · 2006-12-12 · astro-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{F2N7TNYJA2LNCVQFYNJBUXZEPQ}

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.

Cited by

1 paper in Pith

Fr\'echet Vectors as sensitive tools for blind tests of CMB anomalies

Receipt and verification

First computed	2026-07-04T15:24:59.129726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e9bf9b7090696d15605c3521a5f247c23e2214bbbe1ec6d99d04b3444fe10ef

Aliases

arxiv: astro-ph/0612308 · arxiv_version: astro-ph/0612308v1 · doi: 10.48550/arxiv.astro-ph/0612308 · pith_short_12: F2N7TNYJA2LN · pith_short_16: F2N7TNYJA2LNCVQF · pith_short_8: F2N7TNYJ

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/F2N7TNYJA2LNCVQFYNJBUXZEPQ \
  | 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: 2e9bf9b7090696d15605c3521a5f247c23e2214bbbe1ec6d99d04b3444fe10ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78dc7f43b96168713c2e42ca261528af960e8c214d2e6c51cb87e7f208482a06",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-12-12T10:25:22Z",
    "title_canon_sha256": "0d1da276fee15eacd1b51e8746c0d963792f24e9124905c44946c9921e86c539"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0612308",
    "kind": "arxiv",
    "version": 1
  }
}