Pith Number

pith:BLJNNGLI

pith:2012:BLJNNGLILDCFXOWJFJCN66Z6C3

not attested not anchored not stored refs pending

Gauge invariants of eigenspace and eigenvalue anholonomies: Examples in hierarchical quantum circuits

Atushi Tanaka, Sang Wook Kim, Taksu Cheon

arxiv:1203.5412 v2 · 2012-03-24 · quant-ph

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BLJNNGLILDCFXOWJFJCN66Z6C3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:49:47.177449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ad2d6996858c45bbac92a44df7b3e16f7d05c32d8bccf418d644789ace04ed3

Aliases

arxiv: 1203.5412 · arxiv_version: 1203.5412v2 · doi: 10.48550/arxiv.1203.5412 · pith_short_12: BLJNNGLILDCF · pith_short_16: BLJNNGLILDCFXOWJ · pith_short_8: BLJNNGLI

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/BLJNNGLILDCFXOWJFJCN66Z6C3 \
  | 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: 0ad2d6996858c45bbac92a44df7b3e16f7d05c32d8bccf418d644789ace04ed3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cabef5ee0df6b12753a240a853cfa6380b395d97458cf956ef5afd1573f73d4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-03-24T13:36:34Z",
    "title_canon_sha256": "325ab67246505b8baf9130c47dbb330611b4319002bc089ebe20e90dcf54cf63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5412",
    "kind": "arxiv",
    "version": 2
  }
}