Pith Number

pith:NZZKZM22

pith:1999:NZZKZM22UWR7LMY2UBI5RPQBNU

not attested not anchored not stored refs pending

CMB Anisotropy in Compact Hyperbolic Universes II: COBE Maps and Limits

Dmitry Pogosyan, J.Richard Bond, Tarun Souradeep

arxiv:astro-ph/9912144 v1 · 1999-12-07 · astro-ph · 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{NZZKZM22UWR7LMY2UBI5RPQBNU}

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

The yes boundaries wavefunctions of the universe

Receipt and verification

First computed	2026-07-04T16:11:59.074092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e72acb35aa5a3f5b31aa051d8be016d3a446bc0e78c0186d29b96819e9c250c

Aliases

arxiv: astro-ph/9912144 · arxiv_version: astro-ph/9912144v1 · doi: 10.48550/arxiv.astro-ph/9912144 · pith_short_12: NZZKZM22UWR7 · pith_short_16: NZZKZM22UWR7LMY2 · pith_short_8: NZZKZM22

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/NZZKZM22UWR7LMY2UBI5RPQBNU \
  | 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: 6e72acb35aa5a3f5b31aa051d8be016d3a446bc0e78c0186d29b96819e9c250c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca5f3aa7b5f01747de436a292689ccf0663293669b06c7297059bcd18522d575",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-12-07T22:03:54Z",
    "title_canon_sha256": "0c0b2229db62cde91bed83da0a5423781e4ef6d667d7d62f9a6f5914663d44b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9912144",
    "kind": "arxiv",
    "version": 1
  }
}