Pith Number

pith:HOMHL77E

pith:2026:HOMHL77E23JIV2LPMW2Q5TTO3P

not attested not anchored not stored refs pending

Basis sets and Coulomb resolutions in rotational coordinates

Edward Lilley

arxiv:2606.13324 v1 · 2026-06-11 · astro-ph.GA · math-ph · 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{HOMHL77E23JIV2LPMW2Q5TTO3P}

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	2026-06-12T01:09:52.499152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b9875ffe4d6d28ae96f65b50ece6edbf2099c5bfc7a9099982bbb3ff92cd197

Aliases

arxiv: 2606.13324 · arxiv_version: 2606.13324v1 · doi: 10.48550/arxiv.2606.13324 · pith_short_12: HOMHL77E23JI · pith_short_16: HOMHL77E23JIV2LP · pith_short_8: HOMHL77E

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/HOMHL77E23JIV2LPMW2Q5TTO3P \
  | 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: 3b9875ffe4d6d28ae96f65b50ece6edbf2099c5bfc7a9099982bbb3ff92cd197

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d8cbcf7d4a9e316ec04eb6414ede634496d1d9578ed0412ab22f4185dde36e9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2026-06-11T13:15:47Z",
    "title_canon_sha256": "b3dfd36620186ca8afca272eb9b289263761a381e369c253e44fb245beb59098"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13324",
    "kind": "arxiv",
    "version": 1
  }
}