Pith Number

pith:5U4TBGTP

pith:2026:5U4TBGTPWFRUY4DBBUPBM62E7W

not attested not anchored not stored refs pending

Operator-frame geometry of non-compact quantum systems with frame-vacuum phase transitions

Gonzalo Ordonez, Hiroto Nakano, Kazuki Kanki, Masatoshi Kubota, Satoshi Tanaka

arxiv:2607.06994 v1 · 2026-07-08 · 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{5U4TBGTPWFRUY4DBBUPBM62E7W}

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	2026-07-09T01:20:12.043203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed39309a6fb1634c70610d1e167b44fda9c4d4483c89f42a8d204304f77d6e4d

Aliases

arxiv: 2607.06994 · arxiv_version: 2607.06994v1 · doi: 10.48550/arxiv.2607.06994 · pith_short_12: 5U4TBGTPWFRU · pith_short_16: 5U4TBGTPWFRUY4DB · pith_short_8: 5U4TBGTP

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/5U4TBGTPWFRUY4DBBUPBM62E7W \
  | 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: ed39309a6fb1634c70610d1e167b44fda9c4d4483c89f42a8d204304f77d6e4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12867322eaf0aa147d73f5b22af3950873b24d3ecd585e688c551ab94a5c3a63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-08T04:35:06Z",
    "title_canon_sha256": "42c50410c1b9db2936c118c63e96f02781ca9d479b2f98a8a9dceb16768e4133"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06994",
    "kind": "arxiv",
    "version": 1
  }
}