Pith Number

pith:5G2HCBFT

pith:2012:5G2HCBFTQN7RIGOB2VTW2UUZXO

not attested not anchored not stored refs pending

Complex Probability Measure and Aharonov's Weak Value

Izumi Tsutsui, Tatsuya Morita, Toshihiko Sasaki

arxiv:1210.1298 v2 · 2012-10-04 · 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{5G2HCBFTQN7RIGOB2VTW2UUZXO}

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	2026-05-18T03:36:25.022145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9b47104b3837f1419c1d5676d5299bbb511afec0d7faf6017131700a726427d

Aliases

arxiv: 1210.1298 · arxiv_version: 1210.1298v2 · doi: 10.48550/arxiv.1210.1298 · pith_short_12: 5G2HCBFTQN7R · pith_short_16: 5G2HCBFTQN7RIGOB · pith_short_8: 5G2HCBFT

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/5G2HCBFTQN7RIGOB2VTW2UUZXO \
  | 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: e9b47104b3837f1419c1d5676d5299bbb511afec0d7faf6017131700a726427d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6790c6011c7c0fae031b92d7d765d30ad476446b92e223b0fd9eb2e3bf05b38a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-10-04T05:15:49Z",
    "title_canon_sha256": "80ef293d3c0c94046be0f8e8a19a2c5f6992e1a5f0f6280b68d18faf8309ab7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1298",
    "kind": "arxiv",
    "version": 2
  }
}