Pith Number

pith:WWPCLCUK

pith:2018:WWPCLCUKMX2M56PKJONNTLIDR5

not attested not anchored not stored refs pending

On spherical codes with inner products in a prescribed interval

D. P. Hardin, E. B. Saff, M. M. Stoyanova, P. D. Dragnev, P. G. Boyvalenkov

arxiv:1801.07334 v1 · 2018-01-22 · 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{WWPCLCUKMX2M56PKJONNTLIDR5}

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	2026-05-18T00:25:13.078835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b59e258a8a65f4cef9ea4b9ad9ad038f4795b8a80755e005c9a9cc911a6b4f37

Aliases

arxiv: 1801.07334 · arxiv_version: 1801.07334v1 · doi: 10.48550/arxiv.1801.07334 · pith_short_12: WWPCLCUKMX2M · pith_short_16: WWPCLCUKMX2M56PK · pith_short_8: WWPCLCUK

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/WWPCLCUKMX2M56PKJONNTLIDR5 \
  | 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: b59e258a8a65f4cef9ea4b9ad9ad038f4795b8a80755e005c9a9cc911a6b4f37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff3a8dc447f2a6ef0969c1d21ac25e8557fe46538ce447042f6a3845355958a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-01-22T21:54:04Z",
    "title_canon_sha256": "d32770766ae8026c94ea162b0f5f560f34c127bb15676f93e8aa0c5f8a661e22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07334",
    "kind": "arxiv",
    "version": 1
  }
}