Pith Number

pith:EENHSLXV

pith:2016:EENHSLXV26RMB5TFPTVASVFZPU

not attested not anchored not stored refs pending

Private and Truthful Aggregative Game for Large-Scale Spectrum Sharing

Dapeng Oliver Wu, Kaigui Bian, Pan Zhou, Qian Wang, Wenqi Wei, Yuchong Hu

arxiv:1608.05537 v3 · 2016-08-19 · 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{EENHSLXV26RMB5TFPTVASVFZPU}

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	2026-05-18T01:00:12.085534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

211a792ef5d7a2c0f6657cea0954b97d1c9d6328b955950f92549ef39caedd9a

Aliases

arxiv: 1608.05537 · arxiv_version: 1608.05537v3 · doi: 10.48550/arxiv.1608.05537 · pith_short_12: EENHSLXV26RM · pith_short_16: EENHSLXV26RMB5TF · pith_short_8: EENHSLXV

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/EENHSLXV26RMB5TFPTVASVFZPU \
  | 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: 211a792ef5d7a2c0f6657cea0954b97d1c9d6328b955950f92549ef39caedd9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25dbc2dead5e6c3086ff262bad514922d689fe82960d6506d76b0efe6d5aee1c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2016-08-19T08:52:31Z",
    "title_canon_sha256": "621860df704013528aa66fd92b320ca3d8b974d5a32ee8dd2364e2b0737b5c38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05537",
    "kind": "arxiv",
    "version": 3
  }
}