Pith Number

pith:ZZPSV3DG

pith:2014:ZZPSV3DGZEQDFH2555HFQMUDFT

not attested not anchored not stored refs pending

Quality Sensitive Price Competition in Spectrum Oligopoly: Part II

Arnob Ghosh, Saswati Sarkar

arxiv:1404.6766 v3 · 2014-04-27 · cs.GT · 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{ZZPSV3DGZEQDFH2555HFQMUDFT}

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	2026-05-18T00:59:03.062454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce5f2aec66c920329f5def4e5832832cdf12bf8561ba87e1824a0ff55aeccb55

Aliases

arxiv: 1404.6766 · arxiv_version: 1404.6766v3 · doi: 10.48550/arxiv.1404.6766 · pith_short_12: ZZPSV3DGZEQD · pith_short_16: ZZPSV3DGZEQDFH25 · pith_short_8: ZZPSV3DG

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/ZZPSV3DGZEQDFH2555HFQMUDFT \
  | 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: ce5f2aec66c920329f5def4e5832832cdf12bf8561ba87e1824a0ff55aeccb55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7c26ba458610f8e2242ace556343fec7ad41643ddfe927a84213e3beff7505b",
    "cross_cats_sorted": [
      "cs.NI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2014-04-27T15:19:59Z",
    "title_canon_sha256": "81a63f1ee9fe4a5af93f7dd14c4b46ed545ee827bd77d471e475840d13bc7724"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6766",
    "kind": "arxiv",
    "version": 3
  }
}