Pith Number

pith:Y7M5VHAP

pith:2007:Y7M5VHAPNT3ZYFHJU7IVLTW4RR

not attested not anchored not stored refs pending

A Game-Theoretic Approach to Energy-Efficient Modulation in CDMA Networks with Delay QoS Constraints

Andrea J. Goldsmith, Farhad Meshkati, H. Vincent Poor, Stuart C. Schwartz

arxiv:0705.1788 v1 · 2007-05-12 · cs.IT · cs.GT · 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{Y7M5VHAPNT3ZYFHJU7IVLTW4RR}

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	2026-05-18T00:58:02.391008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7d9da9c0f6cf79c14e9a7d155cedc8c6ca1b4eb0a4ca7237a060328b7b4cedf

Aliases

arxiv: 0705.1788 · arxiv_version: 0705.1788v1 · doi: 10.48550/arxiv.0705.1788 · pith_short_12: Y7M5VHAPNT3Z · pith_short_16: Y7M5VHAPNT3ZYFHJ · pith_short_8: Y7M5VHAP

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/Y7M5VHAPNT3ZYFHJU7IVLTW4RR \
  | 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: c7d9da9c0f6cf79c14e9a7d155cedc8c6ca1b4eb0a4ca7237a060328b7b4cedf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85467a8dfabc672d411daf7c8de9f02b5bee917c6a46441947fed32740556885",
    "cross_cats_sorted": [
      "cs.GT",
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2007-05-12T22:39:27Z",
    "title_canon_sha256": "547b567ed07866cad57ba6304dd417bcdfe3605dae4da406a3204d0dd33ac3cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.1788",
    "kind": "arxiv",
    "version": 1
  }
}