Pith Number

pith:ZW6DSD4D

pith:2007:ZW6DSD4DWELSGIZ7EIJXCSVPWH

not attested not anchored not stored refs pending

Cooperative Beamforming for Wireless Ad Hoc Networks

Athina P. Petropulu, H. Vincent Poor, Lun Dong

arxiv:0708.0805 v1 · 2007-08-06 · 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{ZW6DSD4DWELSGIZ7EIJXCSVPWH}

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	2026-05-18T00:58:48.869599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdbc390f83b11723233f2213714aafb1d91fa511766dae9e5db426f6f877a20e

Aliases

arxiv: 0708.0805 · arxiv_version: 0708.0805v1 · doi: 10.48550/arxiv.0708.0805 · pith_short_12: ZW6DSD4DWELS · pith_short_16: ZW6DSD4DWELSGIZ7 · pith_short_8: ZW6DSD4D

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/ZW6DSD4DWELSGIZ7EIJXCSVPWH \
  | 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: cdbc390f83b11723233f2213714aafb1d91fa511766dae9e5db426f6f877a20e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1dbdd2fd46396f6ad900e65ca443097bbdb3abca5971bdb402359ef75b7e574",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2007-08-06T17:45:21Z",
    "title_canon_sha256": "ab0879671649c0f54c83322fbf9805321cee1f63e4b0946e83fc414ec2ea2b16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.0805",
    "kind": "arxiv",
    "version": 1
  }
}