Pith Number

pith:CCTXDJ2O

pith:2013:CCTXDJ2O6KWEKEWDCYRGIGD56I

not attested not anchored not stored refs pending

Weak value expansion of quantum operators and its application in stochastic matrices

Sergey Poghosyan, Taksu Cheon

arxiv:1306.4767 v1 · 2013-06-20 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCTXDJ2O6KWEKEWDCYRGIGD56I}

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	2026-05-18T03:20:21.750308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10a771a74ef2ac4512c3162264187df2083240b28049947b7f0ef8631563f83b

Aliases

arxiv: 1306.4767 · arxiv_version: 1306.4767v1 · doi: 10.48550/arxiv.1306.4767 · pith_short_12: CCTXDJ2O6KWE · pith_short_16: CCTXDJ2O6KWEKEWD · pith_short_8: CCTXDJ2O

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/CCTXDJ2O6KWEKEWDCYRGIGD56I \
  | 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: 10a771a74ef2ac4512c3162264187df2083240b28049947b7f0ef8631563f83b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5ed0a2f7f0c5a542ad24be7f3103ed2ca10f70a5f701cd351ba438bcd7565a9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-06-20T06:52:39Z",
    "title_canon_sha256": "7aed384b90f7b184db00ae394c2592f9ef6bf4d5abaee5f47835cfd7d6817354"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4767",
    "kind": "arxiv",
    "version": 1
  }
}