Pith Number

pith:AH7JMPAG

pith:2017:AH7JMPAG6ZTQFWU3UMCUEAXQEJ

not attested not anchored not stored refs pending

Maximizing Riesz means of anisotropic harmonic oscillators

Simon Larson

arxiv:1712.10247 v2 · 2017-12-29 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AH7JMPAG6ZTQFWU3UMCUEAXQEJ}

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	2026-05-18T00:03:56.599985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01fe963c06f66702da9ba3054202f022418a423b6c46e3ee1a500c339c3204e2

Aliases

arxiv: 1712.10247 · arxiv_version: 1712.10247v2 · doi: 10.48550/arxiv.1712.10247 · pith_short_12: AH7JMPAG6ZTQ · pith_short_16: AH7JMPAG6ZTQFWU3 · pith_short_8: AH7JMPAG

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/AH7JMPAG6ZTQFWU3UMCUEAXQEJ \
  | 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: 01fe963c06f66702da9ba3054202f022418a423b6c46e3ee1a500c339c3204e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6343d38e99a6c4e07921a6f8b16faeb45d0c87b08cad4e319686954625a0338f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-12-29T14:58:21Z",
    "title_canon_sha256": "a13b04d19d58c76dae25729c261c55cedf48a523a13ad6da31dc5166af5ac44f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.10247",
    "kind": "arxiv",
    "version": 2
  }
}