Pith Number

pith:PVT75QYV

pith:2014:PVT75QYVYZWOAMCVEQJXXUM56G

not attested not anchored not stored refs pending

Quantum Bochner's theorem for phase spaces built on projective representations

Christopher Ferrie, Ninnat Dangniam

arxiv:1410.5755 v2 · 2014-10-21 · 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{PVT75QYVYZWOAMCVEQJXXUM56G}

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	2026-05-18T02:25:18.584540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d67fec315c66ce0305524137bd19df1ac86db178c06663ec687597a17581325

Aliases

arxiv: 1410.5755 · arxiv_version: 1410.5755v2 · doi: 10.48550/arxiv.1410.5755 · pith_short_12: PVT75QYVYZWO · pith_short_16: PVT75QYVYZWOAMCV · pith_short_8: PVT75QYV

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/PVT75QYVYZWOAMCVEQJXXUM56G \
  | 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: 7d67fec315c66ce0305524137bd19df1ac86db178c06663ec687597a17581325

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e162ad4178960fcbf72f4330a3e624dd8c859ab3b8ac9ae4f6fc1707d2bd197a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-10-21T17:43:42Z",
    "title_canon_sha256": "23475b378994d7556f935f138c987450927c18d7eefc4b8e674ee079ae5787ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5755",
    "kind": "arxiv",
    "version": 2
  }
}