Pith Number

pith:PYYJAHOW

pith:2008:PYYJAHOWGUU2OH5KLW2C37XP4B

not attested not anchored not stored refs pending

The Design of Sparse Antenna Array

Fang Li, Lianlin Li, wenji zhang

arxiv:0811.0705 v1 · 2008-11-05 · 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{PYYJAHOWGUU2OH5KLW2C37XP4B}

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	2026-07-04T15:15:46.001303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e30901dd63529a71faa5db42dfeefe0411a0c8c8612e305093edba394fea47a

Aliases

arxiv: 0811.0705 · arxiv_version: 0811.0705v1 · doi: 10.48550/arxiv.0811.0705 · pith_short_12: PYYJAHOWGUU2 · pith_short_16: PYYJAHOWGUU2OH5K · pith_short_8: PYYJAHOW

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/PYYJAHOWGUU2OH5KLW2C37XP4B \
  | 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: 7e30901dd63529a71faa5db42dfeefe0411a0c8c8612e305093edba394fea47a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "776d8e960089688f40789b30e8ee08362db239c6a7aab5f207e4d0ff2648e570",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2008-11-05T12:03:42Z",
    "title_canon_sha256": "db5de3b138c1295746386c35fec4849f6ec542b5a6082bb4ef82316aaf5ff233"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.0705",
    "kind": "arxiv",
    "version": 1
  }
}