Pith Number

pith:VWAY6D3L

pith:2018:VWAY6D3LFDEKP4WGMSXGERLNCS

not attested not anchored not stored refs pending

Energy Bounds for Codes in Polynomial Metric Spaces

Douglas Hardin, Edward Saff, Maya Stoyanova, Peter Boyvalenkov, Peter Dragnev

arxiv:1804.07462 v1 · 2018-04-20 · 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{VWAY6D3LFDEKP4WGMSXGERLNCS}

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	2026-05-18T00:17:58.759112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad818f0f6b28c8a7f2c664ae62456d14b1dc57c560b46922c5faada6fe6a1a62

Aliases

arxiv: 1804.07462 · arxiv_version: 1804.07462v1 · doi: 10.48550/arxiv.1804.07462 · pith_short_12: VWAY6D3LFDEK · pith_short_16: VWAY6D3LFDEKP4WG · pith_short_8: VWAY6D3L

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/VWAY6D3LFDEKP4WGMSXGERLNCS \
  | 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: ad818f0f6b28c8a7f2c664ae62456d14b1dc57c560b46922c5faada6fe6a1a62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdf7b00739f68c77191f2ab2e835426b515c1fe132da26c9aafbc0bff011236e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-04-20T06:37:19Z",
    "title_canon_sha256": "9141d90945d891cb2e5045cde902e4e51764799e171ad97afc4c4a2eb5c4f547"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.07462",
    "kind": "arxiv",
    "version": 1
  }
}