Pith Number

pith:7EWXVZFK

pith:2015:7EWXVZFKHAI3ZCAVRB2AFZLNNI

not attested not anchored not stored refs pending

Quantum Phase Operator and Phase States

William Rhodes, Xin Ma

arxiv:1511.02847 v2 · 2015-11-09 · 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{7EWXVZFKHAI3ZCAVRB2AFZLNNI}

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	2026-05-18T01:16:24.623390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f92d7ae4aa3811bc8815887402e56d6a1eb201b4e861bfe410f8fe66ed9141b6

Aliases

arxiv: 1511.02847 · arxiv_version: 1511.02847v2 · doi: 10.48550/arxiv.1511.02847 · pith_short_12: 7EWXVZFKHAI3 · pith_short_16: 7EWXVZFKHAI3ZCAV · pith_short_8: 7EWXVZFK

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/7EWXVZFKHAI3ZCAVRB2AFZLNNI \
  | 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: f92d7ae4aa3811bc8815887402e56d6a1eb201b4e861bfe410f8fe66ed9141b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3471b5f8a0a4ca0fa5d5c6a507c6a05f09b0c8b54d97f3ccf6f0a41720e8133",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-11-09T22:11:55Z",
    "title_canon_sha256": "53af24f7e3f803ddc87e009ab2d2787451a265f90216c9f43a0e44850445760e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02847",
    "kind": "arxiv",
    "version": 2
  }
}