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Pith
Pith Number

pith:73GGLHTJ

pith:2019:73GGLHTJSQ33OPLPDJNAICTOFL
not attested not anchored not stored refs pending

Four-Dimension Cross Constellations with Gray Mapping

Byung K Yi, Hae Chung, Liangping Ma

arxiv:1910.02640 v1 · 2019-10-07 · cs.NI

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\usepackage{pith}
\pithnumber{73GGLHTJSQ33OPLPDJNAICTOFL}

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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.
Receipt and verification
First computed 2026-07-05T00:10:10.132662Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fecc659e699437b73d6f1a5a040a6e2ac18d1548f56e928ad7c7080f565776a8

Aliases

arxiv: 1910.02640 · arxiv_version: 1910.02640v1 · doi: 10.48550/arxiv.1910.02640 · pith_short_12: 73GGLHTJSQ33 · pith_short_16: 73GGLHTJSQ33OPLP · pith_short_8: 73GGLHTJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/73GGLHTJSQ33OPLPDJNAICTOFL \
  | 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: fecc659e699437b73d6f1a5a040a6e2ac18d1548f56e928ad7c7080f565776a8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5fbd809c93e02412b379b3cdcbc008aaeb2a48f522719c2d00a98152996944c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2019-10-07T07:21:37Z",
    "title_canon_sha256": "eb8b2f7a2af12a42ce2a5996d29e3d1955936c02a29d6d0694fc2dd803a24381"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.02640",
    "kind": "arxiv",
    "version": 1
  }
}