Pith Number

pith:GPGD3YFM

pith:2007:GPGD3YFMJAVXF3TTTP25A4FDOA

not attested not anchored not stored refs pending

On Capacity Scaling in Arbitrary Wireless Networks

Devavrat Shah, Piyush Gupta, Urs Niesen

arxiv:0711.2745 v3 · 2007-11-19 · 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{GPGD3YFMJAVXF3TTTP25A4FDOA}

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	2026-05-18T00:58:48.799406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33cc3de0ac482b72ee739bf5d070a37017d07e628e14ea5c9f7e798d98679551

Aliases

arxiv: 0711.2745 · arxiv_version: 0711.2745v3 · doi: 10.48550/arxiv.0711.2745 · pith_short_12: GPGD3YFMJAVX · pith_short_16: GPGD3YFMJAVXF3TT · pith_short_8: GPGD3YFM

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/GPGD3YFMJAVXF3TTTP25A4FDOA \
  | 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: 33cc3de0ac482b72ee739bf5d070a37017d07e628e14ea5c9f7e798d98679551

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9591fc51ce28ae2d807020e24d08f0dbeaa07726595027eaafcd3f2690f9c3d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2007-11-19T19:59:52Z",
    "title_canon_sha256": "1d5bc1ab50c5bbf54bc7b35b39547cc2d17432ec7bec278db9aa261553399521"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.2745",
    "kind": "arxiv",
    "version": 3
  }
}