Pith Number

pith:WN6H7NGF

pith:2021:WN6H7NGFFXZOBKVZMI4ESZ4X4S

not attested not anchored not stored refs pending

Anomalies in the topology of the temperature fluctuations in the cosmic microwave background: An analysis of the $\texttt{NPIPE}$ and $\texttt{FFP10}$ data releases

Pratyush Pranav

arxiv:2111.15427 v1 · 2021-11-30 · 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{WN6H7NGFFXZOBKVZMI4ESZ4X4S}

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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	2026-07-05T04:05:15.115269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b37c7fb4c52df2e0aab96238496797e4aeec8f065b2b4028410d066c8b689d54

Aliases

arxiv: 2111.15427 · arxiv_version: 2111.15427v1 · doi: 10.48550/arxiv.2111.15427 · pith_short_12: WN6H7NGFFXZO · pith_short_16: WN6H7NGFFXZOBKVZ · pith_short_8: WN6H7NGF

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/WN6H7NGFFXZOBKVZMI4ESZ4X4S \
  | 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: b37c7fb4c52df2e0aab96238496797e4aeec8f065b2b4028410d066c8b689d54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc74d757769c81414a0bfa15650113cd38a2e9f400617af2e4889dfea2ac14ef",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-11-30T14:17:17Z",
    "title_canon_sha256": "d6348e1e5162f5b00eca779988074dd6c52090455a0c507383ca90f449ada649"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.15427",
    "kind": "arxiv",
    "version": 1
  }
}