Pith Number

pith:2ZOAAA2Y

pith:2006:2ZOAAA2Y276KHJKPKUESGT24RW

not attested not anchored not stored refs pending

Discrimination between pure states and mixed states

Chi Zhang, Guoming Wang, Mingsheng Ying

arxiv:quant-ph/0611122 v2 · 2006-11-11 · 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{2ZOAAA2Y276KHJKPKUESGT24RW}

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	2026-07-04T17:03:36.711419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d65c000358d7fca3a54f5509234f5c8d9cdfe19e57f56cac250d3f4bdbcf932d

Aliases

arxiv: quant-ph/0611122 · arxiv_version: quant-ph/0611122v2 · doi: 10.48550/arxiv.quant-ph/0611122 · pith_short_12: 2ZOAAA2Y276K · pith_short_16: 2ZOAAA2Y276KHJKP · pith_short_8: 2ZOAAA2Y

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/2ZOAAA2Y276KHJKPKUESGT24RW \
  | 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: d65c000358d7fca3a54f5509234f5c8d9cdfe19e57f56cac250d3f4bdbcf932d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cc38b302c2c2c819bb9612b7f48b1f05e20f3ba99bc4a7ec2e5568965e4e246",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-11-11T07:01:31Z",
    "title_canon_sha256": "7ad5eb03d96cb9b8519155a26fb8505cb23429d699d20f6bdfa9c954056fc0b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0611122",
    "kind": "arxiv",
    "version": 2
  }
}