Pith Number

pith:RLPPD64F

pith:2023:RLPPD64F3OG5QXPC76RPCHF4N5

not attested not anchored not stored refs pending

Homology reveals significant anisotropy in the cosmic microwave background

Pratyush Pranav, Thomas Buchert

arxiv:2308.10738 v2 · 2023-08-21 · astro-ph.CO · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RLPPD64F3OG5QXPC76RPCHF4N5}

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

On the statistical nature of Betti numbers and Euler characteristic of smooth random fields

Receipt and verification

First computed	2026-07-05T10:50:40.658841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8adef1fb85db8dd85de2ffa2f11cbc6f77a5556680db206eca4a88d5037cc506

Aliases

arxiv: 2308.10738 · arxiv_version: 2308.10738v2 · doi: 10.48550/arxiv.2308.10738 · pith_short_12: RLPPD64F3OG5 · pith_short_16: RLPPD64F3OG5QXPC · pith_short_8: RLPPD64F

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/RLPPD64F3OG5QXPC76RPCHF4N5 \
  | 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: 8adef1fb85db8dd85de2ffa2f11cbc6f77a5556680db206eca4a88d5037cc506

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fd6235ad487a63aa873446c28b8f70c8d7c80204d1036d2855cd570b368e0d8",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2023-08-21T14:06:55Z",
    "title_canon_sha256": "8e59779f53937d7abb00eee145d2c2656fbe14edecbeeaba0d25275fa80cf0f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.10738",
    "kind": "arxiv",
    "version": 2
  }
}