Pith Number

pith:X4SUESD3

pith:2021:X4SUESD3DAN7XJOOMFP26BRTZV

not attested not anchored not stored refs pending

Optimizing Fund Allocation for Game-based Verifiable Computation Outsourcing

Pinglan Liu, Wensheng Zhang, Xiaojuan Ma

arxiv:2103.06440 v1 · 2021-03-11 · 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{X4SUESD3DAN7XJOOMFP26BRTZV}

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	2026-07-05T02:22:09.134276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf2542487b181bfba5ce615faf0633cd5abfe1693cf518c2561fb38c73065611

Aliases

arxiv: 2103.06440 · arxiv_version: 2103.06440v1 · doi: 10.48550/arxiv.2103.06440 · pith_short_12: X4SUESD3DAN7 · pith_short_16: X4SUESD3DAN7XJOO · pith_short_8: X4SUESD3

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/X4SUESD3DAN7XJOOMFP26BRTZV \
  | 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: bf2542487b181bfba5ce615faf0633cd5abfe1693cf518c2561fb38c73065611

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d313544f0466d84b96405e45267d5be72291dbf4cf449a398d7659e2b132c38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2021-03-11T03:53:28Z",
    "title_canon_sha256": "f7a26dde4de1afb1769d93b1597b3a010ad0bee73a2c8e690a1d52f206988ca6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.06440",
    "kind": "arxiv",
    "version": 1
  }
}