Pith Number

pith:4I2W66WF

pith:2014:4I2W66WFNNRFZZ3KDGCBGU4LYI

not attested not anchored not stored refs pending

Quantum union bounds for sequential projective measurements

Jingliang Gao

arxiv:1410.5688 v2 · 2014-10-21 · 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{4I2W66WFNNRFZZ3KDGCBGU4LYI}

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	2026-05-18T01:25:30.826772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2356f7ac56b625ce76a198413538bc200110d94879a247ff6b3429a1a48150a

Aliases

arxiv: 1410.5688 · arxiv_version: 1410.5688v2 · doi: 10.48550/arxiv.1410.5688 · pith_short_12: 4I2W66WFNNRF · pith_short_16: 4I2W66WFNNRFZZ3K · pith_short_8: 4I2W66WF

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/4I2W66WFNNRFZZ3KDGCBGU4LYI \
  | 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: e2356f7ac56b625ce76a198413538bc200110d94879a247ff6b3429a1a48150a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d584cd6cfe0fbc03007f621e1de8c7c1b1d0d79fcf7496bc4dca45cda2c43d1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-10-21T14:39:11Z",
    "title_canon_sha256": "2136359dfeb3c81542f3aaa361bab19453c01527ab1a05edc4e557822828d0d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5688",
    "kind": "arxiv",
    "version": 2
  }
}