Pith Number

pith:HQKEVJ4K

pith:1997:HQKEVJ4KUKC2CS6WFRHJ34BPUA

not attested not anchored not stored refs pending

Minkowski Functional Description of Microwave Background Gaussianity

Arthur Kosowsky (Rutgers University), Serge Winitzki (Tufts University)

arxiv:astro-ph/9710164 v1 · 1997-10-15 · 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{HQKEVJ4KUKC2CS6WFRHJ34BPUA}

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	2026-05-18T04:22:32.223850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c144aa78aa285a14bd62c4e9df02fa004fa35c2d07d4ea15e8bd3905a439ea8

Aliases

arxiv: astro-ph/9710164 · arxiv_version: astro-ph/9710164v1 · doi: 10.48550/arxiv.astro-ph/9710164 · pith_short_12: HQKEVJ4KUKC2 · pith_short_16: HQKEVJ4KUKC2CS6W · pith_short_8: HQKEVJ4K

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/HQKEVJ4KUKC2CS6WFRHJ34BPUA \
  | 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: 3c144aa78aa285a14bd62c4e9df02fa004fa35c2d07d4ea15e8bd3905a439ea8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02ba5aa0114c6dc6ce7759b998fef41b4b1af3b58e375b4875930db89a57684e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1997-10-15T16:15:53Z",
    "title_canon_sha256": "3b107e20ad19b388dc5ab53d05b9f263add085107ef5310cd45539279d230822"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9710164",
    "kind": "arxiv",
    "version": 1
  }
}