Pith Number

pith:34NPX3IS

pith:2016:34NPX3ISUDO3V4KGDEJDAAOPD2

not attested not anchored not stored refs pending

Basis entropy: A useful physical quantity about projective measurement

Xing Chen

arxiv:1606.01505 v5 · 2016-06-05 · quant-ph · 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{34NPX3ISUDO3V4KGDEJDAAOPD2}

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	2026-05-18T01:03:36.297502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df1afbed12a0ddbaf14619123001cf1e9ece6331e7be7516f0b6411f8b30c398

Aliases

arxiv: 1606.01505 · arxiv_version: 1606.01505v5 · doi: 10.48550/arxiv.1606.01505 · pith_short_12: 34NPX3ISUDO3 · pith_short_16: 34NPX3ISUDO3V4KG · pith_short_8: 34NPX3IS

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/34NPX3ISUDO3V4KGDEJDAAOPD2 \
  | 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: df1afbed12a0ddbaf14619123001cf1e9ece6331e7be7516f0b6411f8b30c398

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d7a98b103636d878a0bb7bd63f739574dce19770b62d7b429ead5c98fde93d1",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-06-05T13:02:22Z",
    "title_canon_sha256": "e2918c18b8483fe65750b959b57b3a2a05a63b333e4a857fd804f0f1664b8096"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01505",
    "kind": "arxiv",
    "version": 5
  }
}