Pith Number

pith:VAZU4C2R

pith:2016:VAZU4C2RF4DQ367FLKZN5BQ3GJ

not attested not anchored not stored refs pending

Dynamic Spectrum Leasing with Two Sellers

Chengwen Xing, Hai Jiang, Jianping An, Kai Yang, Rongfei Fan, Wen Chen

arxiv:1612.05702 v1 · 2016-12-17 · 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{VAZU4C2RF4DQ367FLKZN5BQ3GJ}

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	2026-05-18T00:54:46.929067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8334e0b512f070dfbe55ab2de861b326e2d8d492793b11f85043f21c41e211e

Aliases

arxiv: 1612.05702 · arxiv_version: 1612.05702v1 · doi: 10.48550/arxiv.1612.05702 · pith_short_12: VAZU4C2RF4DQ · pith_short_16: VAZU4C2RF4DQ367F · pith_short_8: VAZU4C2R

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/VAZU4C2RF4DQ367FLKZN5BQ3GJ \
  | 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: a8334e0b512f070dfbe55ab2de861b326e2d8d492793b11f85043f21c41e211e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2abeeb88b2958dbad983133357ceaf4946b212c8de1acc79781b6e754ea837a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2016-12-17T03:29:27Z",
    "title_canon_sha256": "c74e72145947066f2ad18acde42a79a0ed9dc7873c160acf1b7b2db981671deb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05702",
    "kind": "arxiv",
    "version": 1
  }
}