Pith Number

pith:VBUNCOPF

pith:2013:VBUNCOPF737KMVBBRRAZPCTFSD

not attested not anchored not stored refs pending

Geometric phases between biorthogonal states

Xiao-Dong Cui, Yujun Zheng

arxiv:1311.5631 v1 · 2013-11-22 · 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{VBUNCOPF737KMVBBRRAZPCTFSD}

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	2026-05-18T03:06:23.691230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a868d139e5fefea654218c41978a6590fa23c433712324572ec55e76e9d14344

Aliases

arxiv: 1311.5631 · arxiv_version: 1311.5631v1 · doi: 10.48550/arxiv.1311.5631 · pith_short_12: VBUNCOPF737K · pith_short_16: VBUNCOPF737KMVBB · pith_short_8: VBUNCOPF

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/VBUNCOPF737KMVBBRRAZPCTFSD \
  | 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: a868d139e5fefea654218c41978a6590fa23c433712324572ec55e76e9d14344

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95caf14312eaa9f8a46e91e3b74215d2aaa4976fbce63de114d9577cd2eef1b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-11-22T00:52:12Z",
    "title_canon_sha256": "b76493b079aaa2a24ebe0e5f0aa611a315583836fbbde067a8ef593c354dfd88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5631",
    "kind": "arxiv",
    "version": 1
  }
}