Pith Number
pith:VBI5PLLC
pith:2024:VBI5PLLC7NR76FZWIR6NRIYJKY
not attested
not anchored
not stored
refs pending
Directivity-Aware Degrees of Freedom Analysis for Extremely Large-Scale MIMO
arxiv:2412.14657 v2 · 2024-12-19 · cs.IT · eess.SP · math.IT
Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VBI5PLLC7NR76FZWIR6NRIYJKY}
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
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claim
4
Citations
5
Replications
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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
Receipt and verification
| First computed | 2026-07-05T09:53:47.183492Z |
|---|---|
| Builder | pith-number-builder-2026-05-17-v1 |
| Signature | Pith Ed25519
(pith-v1-2026-05) · public key |
| Schema | pith-number/v1.0 |
Canonical hash
a851d7ad62fb63ff1736447cd8a30956361aca17cd6bde25e5e8532bf65ac410
Aliases
· · · · ·Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VBI5PLLC7NR76FZWIR6NRIYJKY \
| 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: a851d7ad62fb63ff1736447cd8a30956361aca17cd6bde25e5e8532bf65ac410
Canonical record JSON
{
"metadata": {
"abstract_canon_sha256": "dfde7b5c3ae148e45393376f876e84557039921e6b180fb612fe38cdea231139",
"cross_cats_sorted": [
"eess.SP",
"math.IT"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"primary_cat": "cs.IT",
"submitted_at": "2024-12-19T09:08:07Z",
"title_canon_sha256": "2cc8413d1e115ebb6fe88e92844cebbd6687b6f75e7f641675cf23683c4a4e86"
},
"schema_version": "1.0",
"source": {
"id": "2412.14657",
"kind": "arxiv",
"version": 2
}
}