Pith Number

pith:ZF5P6XHW

pith:2012:ZF5P6XHW2XA77D7WEALMZ2VAUZ

not attested not anchored not stored refs pending

Spherical Harmonics in p Dimensions

Christopher Frye, Costas J. Efthimiou

arxiv:1205.3548 v1 · 2012-05-16 · math.CA · hep-th · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZF5P6XHW2XA77D7WEALMZ2VAUZ}

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

Scaling Laws from Sequential Feature Recovery: A Solvable Hierarchical Model

Receipt and verification

First computed	2026-05-18T03:19:56.969976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c97aff5cf6d5c1ff8ff62016cceaa0a673f5d88f0f0e4d7a585202bdd4fd5320

Aliases

arxiv: 1205.3548 · arxiv_version: 1205.3548v1 · doi: 10.48550/arxiv.1205.3548 · pith_short_12: ZF5P6XHW2XA7 · pith_short_16: ZF5P6XHW2XA77D7W · pith_short_8: ZF5P6XHW

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/ZF5P6XHW2XA77D7WEALMZ2VAUZ \
  | 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: c97aff5cf6d5c1ff8ff62016cceaa0a673f5d88f0f0e4d7a585202bdd4fd5320

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88e67a5c9e08189f1a1babf7d32bd0828352befecb49fc1f3a803503d7a3ca30",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-05-16T03:52:20Z",
    "title_canon_sha256": "7c8189b5ad3955564c64ca2186d8bc241fcf272b6c52c8bab2b7697bbdd03d07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3548",
    "kind": "arxiv",
    "version": 1
  }
}