Pith Number

pith:CNDIXTXT

pith:2011:CNDIXTXTRU56QDFWZWB6JMTDLY

not attested not anchored not stored refs pending

Upper bounds on the relative energy difference of pure and mixed Gaussian states with a fixed fidelity

V. V. Dodonov

arxiv:1112.2308 v1 · 2011-12-10 · 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{CNDIXTXTRU56QDFWZWB6JMTDLY}

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	2026-05-18T01:59:12.205849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13468bcef38d3be80cb6cd83e4b2635e1d51449ad20ac28177e60accff72775e

Aliases

arxiv: 1112.2308 · arxiv_version: 1112.2308v1 · doi: 10.48550/arxiv.1112.2308 · pith_short_12: CNDIXTXTRU56 · pith_short_16: CNDIXTXTRU56QDFW · pith_short_8: CNDIXTXT

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/CNDIXTXTRU56QDFWZWB6JMTDLY \
  | 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: 13468bcef38d3be80cb6cd83e4b2635e1d51449ad20ac28177e60accff72775e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d75a23fe69f63d5fcfb34874f61661cd695505dc38561438698053a315c44e83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-12-10T22:49:43Z",
    "title_canon_sha256": "9762de63858b0b45057b051fbed2eb1f9c3a5226a05fe878ab2953ea257338cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2308",
    "kind": "arxiv",
    "version": 1
  }
}