Pith Number

pith:HT6L6UWF

pith:2014:HT6L6UWFSSMXYIWPPOVAI2JFAP

not attested not anchored not stored refs pending

Coherence Optimization and Best Complex Antipodal Spherical Codes

Henning Z\"orlein, Martin Bossert

arxiv:1404.5889 v3 · 2014-04-23 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HT6L6UWFSSMXYIWPPOVAI2JFAP}

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	2026-05-18T01:24:08.902188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cfcbf52c594997c22cf7baa04692503d1856f0045dd96c31e804cb2e9d82ccc

Aliases

arxiv: 1404.5889 · arxiv_version: 1404.5889v3 · doi: 10.48550/arxiv.1404.5889 · pith_short_12: HT6L6UWFSSMX · pith_short_16: HT6L6UWFSSMXYIWP · pith_short_8: HT6L6UWF

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/HT6L6UWFSSMXYIWPPOVAI2JFAP \
  | 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: 3cfcbf52c594997c22cf7baa04692503d1856f0045dd96c31e804cb2e9d82ccc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18175ec3f92be400b4b1922f9059ad8e5447b99375ea697b1ab27d5c7ccd2f19",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-04-23T16:58:22Z",
    "title_canon_sha256": "b3142914b91f3c97a447fa1e95d6afc2444fa52ba5b3d9782989117333d9730f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5889",
    "kind": "arxiv",
    "version": 3
  }
}