Pith Number

pith:WCY4XECE

pith:2022:WCY4XECEGDHH4EJ34OPZ4FIZLI

not attested not anchored not stored refs pending

Three-point bounds for sphere packing

Andrew Salmon, David de Laat, Henry Cohn

arxiv:2206.15373 v1 · 2022-06-30 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCY4XECEGDHH4EJ34OPZ4FIZLI}

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

2 papers in Pith

Duality for Delsarte's extremal problem on compact Gelfand pairs

Duality for Delsarte's extremal problem on locally compact Abelian groups

Receipt and verification

First computed	2026-07-05T04:36:28.641023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0b1cb904430ce7e113be39f9e15195a090b088afea573c05ba68c59bfceaa85

Aliases

arxiv: 2206.15373 · arxiv_version: 2206.15373v1 · doi: 10.48550/arxiv.2206.15373 · pith_short_12: WCY4XECEGDHH · pith_short_16: WCY4XECEGDHH4EJ3 · pith_short_8: WCY4XECE

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/WCY4XECEGDHH4EJ34OPZ4FIZLI \
  | 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: b0b1cb904430ce7e113be39f9e15195a090b088afea573c05ba68c59bfceaa85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b52f56eda16914c851d8ebea79070888f48eb7d35b898b275e0c4985027f89bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2022-06-30T15:49:36Z",
    "title_canon_sha256": "369daaa8d0052a37c47d25dc2e93019face6aa6bb826cfa34031e115f1264627"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.15373",
    "kind": "arxiv",
    "version": 1
  }
}