Pith Number

pith:CGD3AENY

pith:2020:CGD3AENY6NFYW5AB3ZXBDHO3BV

not attested not anchored not stored refs pending

On spherical harmonics possessing octahedral symmetry

Yuri Nesterenko

arxiv:2012.12614 v3 · 2020-12-23 · cs.GR · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGD3AENY6NFYW5AB3ZXBDHO3BV}

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	2026-07-05T04:58:26.552155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1187b011b8f34b8b7401de6e119ddb0d62b9481a7e43535768b3583f3b42aa55

Aliases

arxiv: 2012.12614 · arxiv_version: 2012.12614v3 · doi: 10.48550/arxiv.2012.12614 · pith_short_12: CGD3AENY6NFY · pith_short_16: CGD3AENY6NFYW5AB · pith_short_8: CGD3AENY

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/CGD3AENY6NFYW5AB3ZXBDHO3BV \
  | 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: 1187b011b8f34b8b7401de6e119ddb0d62b9481a7e43535768b3583f3b42aa55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a94d96801ccf05982be33a898bb86b148993488dd0a1a5577369daac9f94be5",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GR",
    "submitted_at": "2020-12-23T11:53:00Z",
    "title_canon_sha256": "c06e27f2347636df3f462164c03aaaf0ebefd5d22d3c63c45a8e2b8a81c4a620"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.12614",
    "kind": "arxiv",
    "version": 3
  }
}