Pith Number

pith:IEXK26IE

pith:2011:IEXK26IEDVFV23EDLZ2HBPFGBC

not attested not anchored not stored refs pending

Optimal Band Allocation for Cognitive Cellular Networks

Chengling Jiang, Tingting Liu

arxiv:1102.0160 v1 · 2011-02-01 · 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{IEXK26IEDVFV23EDLZ2HBPFGBC}

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	2026-05-18T04:30:13.073101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

412ead79041d4b5d6c835e7470bca608a083e8dcbb55d1858c921490e4043e3b

Aliases

arxiv: 1102.0160 · arxiv_version: 1102.0160v1 · doi: 10.48550/arxiv.1102.0160 · pith_short_12: IEXK26IEDVFV · pith_short_16: IEXK26IEDVFV23ED · pith_short_8: IEXK26IE

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/IEXK26IEDVFV23EDLZ2HBPFGBC \
  | 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: 412ead79041d4b5d6c835e7470bca608a083e8dcbb55d1858c921490e4043e3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cdfbc9443020c857d75e61b606850962525b8b917a86f49bbb3d161dc4c136f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-02-01T14:01:22Z",
    "title_canon_sha256": "8b91ab8ee6580dd85adf9715c9a48ed23d69d7001946a3f5fafa8850e79cf2a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0160",
    "kind": "arxiv",
    "version": 1
  }
}