Pith Number

pith:7LWC5QL3

pith:1993:7LWC5QL3I2B4TDB2MTNZBP2YGC

not attested not anchored not stored refs pending

The Angular Bispectrum of The Cosmic Microwave Background

Xiaochun Luo

arxiv:astro-ph/9312004 v2 · 1993-12-03 · 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{7LWC5QL3I2B4TDB2MTNZBP2YGC}

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	2026-05-18T01:07:42.989668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faec2ec17b4683c98c3a64db90bf5830b26f17a2bc7fd11c6c2b74aafcbfeb22

Aliases

arxiv: astro-ph/9312004 · arxiv_version: astro-ph/9312004v2 · doi: 10.48550/arxiv.astro-ph/9312004 · pith_short_12: 7LWC5QL3I2B4 · pith_short_16: 7LWC5QL3I2B4TDB2 · pith_short_8: 7LWC5QL3

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/7LWC5QL3I2B4TDB2MTNZBP2YGC \
  | 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: faec2ec17b4683c98c3a64db90bf5830b26f17a2bc7fd11c6c2b74aafcbfeb22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ffcfc536cca75f23331f008880a25baa4017af053406d5af249cabb7b9ff93d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1993-12-03T03:27:16Z",
    "title_canon_sha256": "ff5b750ba047dc2ca300d323fc2ff29bbf9564838c234cc32f4e2b3d334a1f99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9312004",
    "kind": "arxiv",
    "version": 2
  }
}