Pith Number

pith:KSLPMWUC

pith:2024:KSLPMWUCY5HI3WFVMMY2HMID3I

not attested not anchored not stored refs pending

On the Use of Vector Spherical Harmonics

Zinovy Malkin

arxiv:2410.06075 v1 · 2024-10-08 · astro-ph.IM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KSLPMWUCY5HI3WFVMMY2HMID3I}

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

Kinematic Distortions of the High-Redshift Universe as Seen from Quasar Proper Motions

Receipt and verification

First computed	2026-07-05T09:17:55.467565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5496f65a82c74e8dd8b56331a3b103da04206d296a0311b2cd192fb78284e242

Aliases

arxiv: 2410.06075 · arxiv_version: 2410.06075v1 · doi: 10.48550/arxiv.2410.06075 · pith_short_12: KSLPMWUCY5HI · pith_short_16: KSLPMWUCY5HI3WFV · pith_short_8: KSLPMWUC

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/KSLPMWUCY5HI3WFVMMY2HMID3I \
  | 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: 5496f65a82c74e8dd8b56331a3b103da04206d296a0311b2cd192fb78284e242

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f3a9a6c6329a6bfa7e0e1bf8e363b92be0bce011506439579d066f79e55c3ed",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2024-10-08T14:27:57Z",
    "title_canon_sha256": "9f8bb748b2ebf86cb2b46f7d307528c3fed0c0831dfabb24cc81b4a40132dc3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.06075",
    "kind": "arxiv",
    "version": 1
  }
}