Pith Number

pith:B7HGBXYO

pith:2016:B7HGBXYOQINMZMUVGQMSFWB7EC

not attested not anchored not stored refs pending

Optimal Bidding in Repeated Wireless Spectrum Auctions with Budget Constraints

Alhussein Abouzeid, Mehrdad Khaledi

arxiv:1608.07357 v1 · 2016-08-26 · cs.NI · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B7HGBXYOQINMZMUVGQMSFWB7EC}

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	2026-05-18T01:07:53.273449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fce60df0e821accb295341922d83f20a72f613a0d461a737737f0701d4ffb70

Aliases

arxiv: 1608.07357 · arxiv_version: 1608.07357v1 · doi: 10.48550/arxiv.1608.07357 · pith_short_12: B7HGBXYOQINM · pith_short_16: B7HGBXYOQINMZMUV · pith_short_8: B7HGBXYO

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/B7HGBXYOQINMZMUVGQMSFWB7EC \
  | 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: 0fce60df0e821accb295341922d83f20a72f613a0d461a737737f0701d4ffb70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec6c0bf4e424f3354abaaa4d3de48826c07919a4472ae11334861e2b4bb4560a",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2016-08-26T03:26:32Z",
    "title_canon_sha256": "d09bbec3f0c4e96cf0ed975025400e53e5ee78047c6909a9f6b3f8f52afe1e6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07357",
    "kind": "arxiv",
    "version": 1
  }
}