Pith Number

pith:N2RN7FQD

pith:2025:N2RN7FQDCEEJX3YBAMUEZCBTOR

not attested not anchored not stored refs pending

Linear programming bounds in homogeneous spaces, I: Optimal packing density

Maximilian Wackenhuth

arxiv:2505.23572 v1 · 2025-05-29 · math.MG · math.GR · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N2RN7FQDCEEJX3YBAMUEZCBTOR}

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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

Duality for Delsarte's extremal problem on compact Gelfand pairs

Receipt and verification

First computed	2026-07-05T11:12:04.151850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ea2df960311089bef0103284c883374752034e9a67bcf3369c54b64e00dba05

Aliases

arxiv: 2505.23572 · arxiv_version: 2505.23572v1 · doi: 10.48550/arxiv.2505.23572 · pith_short_12: N2RN7FQDCEEJ · pith_short_16: N2RN7FQDCEEJX3YB · pith_short_8: N2RN7FQD

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/N2RN7FQDCEEJX3YBAMUEZCBTOR \
  | 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: 6ea2df960311089bef0103284c883374752034e9a67bcf3369c54b64e00dba05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34f7525c825b65f290987c9df927c162c81bc4fad6d96dfeb55e99304bf28e54",
    "cross_cats_sorted": [
      "math.GR",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2025-05-29T15:45:38Z",
    "title_canon_sha256": "0502c31b43d44fa0c28da19d11102b57effb38286a14609359350b985498ddd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.23572",
    "kind": "arxiv",
    "version": 1
  }
}