Pith Number

pith:UYMZWKK2

pith:2026:UYMZWKK2WZOAAQFR2PUJ5CJHBP

not attested not anchored not stored refs pending

Witness expansion: A unified framework for analytical and measurable mixed-state resource detection

Chengkai Zhu, Ingo Roth, Jens Eisert, Otfried G\"uhne, Xin Wang, Yifan Tang, Yuzhen Zhang, Zhenhuan Liu, Zi-Wen Liu

arxiv:2606.27105 v1 · 2026-06-25 · 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{UYMZWKK2WZOAAQFR2PUJ5CJHBP}

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	2026-06-26T01:16:09.463060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6199b295ab65c0040b1d3e89e89270bfb6b8bc6c6525ff9751f5c11aa9776ba

Aliases

arxiv: 2606.27105 · arxiv_version: 2606.27105v1 · doi: 10.48550/arxiv.2606.27105 · pith_short_12: UYMZWKK2WZOA · pith_short_16: UYMZWKK2WZOAAQFR · pith_short_8: UYMZWKK2

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/UYMZWKK2WZOAAQFR2PUJ5CJHBP \
  | 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: a6199b295ab65c0040b1d3e89e89270bfb6b8bc6c6525ff9751f5c11aa9776ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff7489771e3b30f8edd934bb8cd03f1bc805ebb14fb0ec010362877a9e315179",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-25T14:43:38Z",
    "title_canon_sha256": "e84528a519a98fc971695182f1bae7d4f5eb5409b496e70576ccf65b345d5805"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27105",
    "kind": "arxiv",
    "version": 1
  }
}