Pith Number

pith:7ZFKKC2L

pith:2010:7ZFKKC2LJN6EUTOL2W5OSWENGS

not attested not anchored not stored refs pending

Utility Constrained Energy Minimization In Aloha Networks

Amir Mahdi Khodaian, Babak H. Khalaj, Mohammad S. Talebi

arxiv:1011.5122 v1 · 2010-11-23 · 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{7ZFKKC2LJN6EUTOL2W5OSWENGS}

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	2026-05-18T04:34:54.771886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe4aa50b4b4b7c4a4dcbd5bae9588d34888bc46fa3263adba4c1bb193c242e7a

Aliases

arxiv: 1011.5122 · arxiv_version: 1011.5122v1 · doi: 10.48550/arxiv.1011.5122 · pith_short_12: 7ZFKKC2LJN6E · pith_short_16: 7ZFKKC2LJN6EUTOL · pith_short_8: 7ZFKKC2L

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/7ZFKKC2LJN6EUTOL2W5OSWENGS \
  | 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: fe4aa50b4b4b7c4a4dcbd5bae9588d34888bc46fa3263adba4c1bb193c242e7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7296956ddfca8e6aeca2db099be3d1cb669d86439c46a263b499e076c2f4942",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-11-23T14:49:49Z",
    "title_canon_sha256": "9ef047860b0b9d2a7754b464aef2eebb5fe891f9c66368a9e149fbef95c9f683"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5122",
    "kind": "arxiv",
    "version": 1
  }
}