Pith Number

pith:2HHU2KTD

pith:2010:2HHU2KTDNYQAJHQXSTYIW7KOBY

not attested not anchored not stored refs pending

On amending the Maskin's sufficiency theorem by using complex numbers

Haoyang Wu

arxiv:1004.5327 v12 · 2010-04-29 · physics.soc-ph · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2HHU2KTDNYQAJHQXSTYIW7KOBY}

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	2026-05-18T03:57:50.811708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1cf4d2a636e20049e1794f08b7d4e0e07f2c6f97746ed293446cbdee5d6e89c

Aliases

arxiv: 1004.5327 · arxiv_version: 1004.5327v12 · doi: 10.48550/arxiv.1004.5327 · pith_short_12: 2HHU2KTDNYQA · pith_short_16: 2HHU2KTDNYQAJHQX · pith_short_8: 2HHU2KTD

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/2HHU2KTDNYQAJHQXSTYIW7KOBY \
  | 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: d1cf4d2a636e20049e1794f08b7d4e0e07f2c6f97746ed293446cbdee5d6e89c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "469895d64ca2f132a6c12db19519d2f6097d565d181c24d222103513b4fad0f0",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2010-04-29T15:38:28Z",
    "title_canon_sha256": "6fe6e881e8581993668b973248302063769f28ea3e772e9a54a1ebdcf6107bb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5327",
    "kind": "arxiv",
    "version": 12
  }
}