Pith Number

pith:42JIBBTL

pith:2026:42JIBBTLINGNGXOY5H7KC3IGYR

not attested not anchored not stored refs pending

How Many Independent Modes Does a Fluid Antenna Have? A Closed-Form Outage Analysis via Equivalent Degrees of Freedom

Baiyang Liu, Hyundong Shin, Jie Tang, Junteng Yao, Kai-Kit Wong, Kin-Fai Tong, Maged Elkashlan, Tuo Wu

arxiv:2605.19612 v1 · 2026-05-19 · eess.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42JIBBTLINGNGXOY5H7KC3IGYR}

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	2026-05-20T01:05:54.297390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e69280866b434cd35dd8e9fea16d06c46d941e44b9c87ad2138c3070eda0bc02

Aliases

arxiv: 2605.19612 · arxiv_version: 2605.19612v1 · doi: 10.48550/arxiv.2605.19612 · pith_short_12: 42JIBBTLINGN · pith_short_16: 42JIBBTLINGNGXOY · pith_short_8: 42JIBBTL

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/42JIBBTLINGNGXOY5H7KC3IGYR \
  | 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: e69280866b434cd35dd8e9fea16d06c46d941e44b9c87ad2138c3070eda0bc02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "819046f57d5e619aec6c617521f409a13c9fd5bde67ee5ba5cab636bbccda93b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2026-05-19T09:52:17Z",
    "title_canon_sha256": "32e6018ff6ee691ebff3aa0c7967c2662658696457a0d2857c1096570d97e03c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19612",
    "kind": "arxiv",
    "version": 1
  }
}