Pith Number

pith:N25ZJ3AQ

pith:2009:N25ZJ3AQJK6HXWYJHSTFGEL5JR

not attested not anchored not stored refs pending

Investment and Pricing with Spectrum Uncertainty: A Cognitive Operator's Perspective

Biying Shou, Jianwei Huang, Lingjie Duan

arxiv:0912.3089 v3 · 2009-12-16 · cs.NI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N25ZJ3AQJK6HXWYJHSTFGEL5JR}

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	2026-05-18T00:59:11.116403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ebb94ec104abc7bdb093ca653117d4c776bf362b92508ea2a381e2615d8bdac

Aliases

arxiv: 0912.3089 · arxiv_version: 0912.3089v3 · doi: 10.48550/arxiv.0912.3089 · pith_short_12: N25ZJ3AQJK6H · pith_short_16: N25ZJ3AQJK6HXWYJ · pith_short_8: N25ZJ3AQ

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/N25ZJ3AQJK6HXWYJHSTFGEL5JR \
  | 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: 6ebb94ec104abc7bdb093ca653117d4c776bf362b92508ea2a381e2615d8bdac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a50a4b7a1090aff640bc6ef8b22c55189397c229f3b5006434c4043b3de34bac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2009-12-16T09:58:46Z",
    "title_canon_sha256": "1f6cb16ea6cf2d83e950e3c6d5d6fb199aff46902dddc306d644bf83ca3256fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3089",
    "kind": "arxiv",
    "version": 3
  }
}