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Pith Number

pith:F6WQR77D

pith:2010:F6WQR77DLTAKDJFMBKYO4LVUHH
not attested not anchored not stored refs pending

Transmission Capacity of Spectrum Sharing Ad-hoc Networks with Multiple Antennas

Rahul Vaze

arxiv:1010.0781 v1 · 2010-10-05 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{F6WQR77DLTAKDJFMBKYO4LVUHH}

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 2026-05-18T02:23:46.912347Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2fad08ffe35cc0a1a4ac0ab0ee2eb439e463237be751736ba83c9b67dee113de

Aliases

arxiv: 1010.0781 · arxiv_version: 1010.0781v1 · doi: 10.48550/arxiv.1010.0781 · pith_short_12: F6WQR77DLTAK · pith_short_16: F6WQR77DLTAKDJFM · pith_short_8: F6WQR77D
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/F6WQR77DLTAKDJFMBKYO4LVUHH \
  | 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: 2fad08ffe35cc0a1a4ac0ab0ee2eb439e463237be751736ba83c9b67dee113de
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4ad74a112c6c84c7614d7dc7d093f494778fcd17188afc9bb03014519803928b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-10-05T07:16:52Z",
    "title_canon_sha256": "3f531bcfdd887d50710b3f3768073096ae5c4df69ac19a6564cdfd2b902c2b98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0781",
    "kind": "arxiv",
    "version": 1
  }
}