Pith Number

pith:4N33VHQK

pith:2007:4N33VHQKMMTT4Z3QNWMBSOKQK6

not attested not anchored not stored refs pending

A Game Theoretic Approach to Quantum Information

V. P. Belavkin, Xianhua Dai

arxiv:0710.0556 v2 · 2007-10-02 · quant-ph · cs.GT · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4N33VHQKMMTT4Z3QNWMBSOKQK6}

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	2026-05-18T04:09:14.236393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e377ba9e0a63273e67706d98193950579b60cc157fea3fcd23111595bf53f936

Aliases

arxiv: 0710.0556 · arxiv_version: 0710.0556v2 · doi: 10.48550/arxiv.0710.0556 · pith_short_12: 4N33VHQKMMTT · pith_short_16: 4N33VHQKMMTT4Z3Q · pith_short_8: 4N33VHQK

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/4N33VHQKMMTT4Z3QNWMBSOKQK6 \
  | 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: e377ba9e0a63273e67706d98193950579b60cc157fea3fcd23111595bf53f936

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9fbd4b17d1ea55dbf4b815d4889db5855cd44eadb31814ed22bd72f968ce6b0",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.IT",
      "math.IT"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-10-02T15:17:37Z",
    "title_canon_sha256": "2a1b2ce12993e0ea1636044a1205866572c424cae394a6b02546e773514a3add"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0556",
    "kind": "arxiv",
    "version": 2
  }
}