Pith Number

pith:CKTA5MVT

pith:2015:CKTA5MVTGO4XFQLOHK6BILEK4W

not attested not anchored not stored refs pending

Positive operator-valued measures in quantum decision theory

D. Sornette, V.I. Yukalov

arxiv:1503.04750 v1 · 2015-03-16 · quant-ph · physics.soc-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{CKTA5MVTGO4XFQLOHK6BILEK4W}

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	2026-05-18T02:23:24.125093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12a60eb2b333b972c16e3abc142c8ae5ba7ec0e17ce6d2ebf52444f912dfa2ca

Aliases

arxiv: 1503.04750 · arxiv_version: 1503.04750v1 · doi: 10.48550/arxiv.1503.04750 · pith_short_12: CKTA5MVTGO4X · pith_short_16: CKTA5MVTGO4XFQLO · pith_short_8: CKTA5MVT

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/CKTA5MVTGO4XFQLOHK6BILEK4W \
  | 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: 12a60eb2b333b972c16e3abc142c8ae5ba7ec0e17ce6d2ebf52444f912dfa2ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3380c12592b30d3b680759c5ce8db0c42a090ff9bece45364fd2de997f26def3",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-03-16T17:59:08Z",
    "title_canon_sha256": "9b4cd0d75855dc36caf7d49d5148b743204a2880d95c47d393f091fbd2c03136"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04750",
    "kind": "arxiv",
    "version": 1
  }
}