Pith Number

pith:FCZIBDBZ

pith:2015:FCZIBDBZKNIGAJH2DYQOO3VEQ4

not attested not anchored not stored refs pending

General fixed points of quasi-local frustration-free quantum semigroups: from invariance to stabilization

Francesco Ticozzi, Lorenza Viola, Peter D. Johnson

arxiv:1506.07756 v2 · 2015-06-25 · 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{FCZIBDBZKNIGAJH2DYQOO3VEQ4}

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	2026-05-18T01:18:19.096896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28b2808c3953506024fa1e20e76ea4873a1b95ac2bb09dfe40479cd2e8a8a1d5

Aliases

arxiv: 1506.07756 · arxiv_version: 1506.07756v2 · doi: 10.48550/arxiv.1506.07756 · pith_short_12: FCZIBDBZKNIG · pith_short_16: FCZIBDBZKNIGAJH2 · pith_short_8: FCZIBDBZ

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/FCZIBDBZKNIGAJH2DYQOO3VEQ4 \
  | 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: 28b2808c3953506024fa1e20e76ea4873a1b95ac2bb09dfe40479cd2e8a8a1d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f682060c8f6050ba804f664813a2eea80dc534703243c7227d96640073124f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-06-25T14:03:33Z",
    "title_canon_sha256": "a2b0f77b56c4877fab33bc934a4a1e7bba89e50734c5c45e45d2f6352ecf7e31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07756",
    "kind": "arxiv",
    "version": 2
  }
}