Pith Number

pith:HZ3CQCSS

pith:2011:HZ3CQCSSZS2MYYIMAXD7D2VHX6

not attested not anchored not stored refs pending

An initial value representation for the Loschmidt echo

Alfredo M. Ozorio de Almeida, Eduardo Zambrano

arxiv:1106.4027 v1 · 2011-06-20 · 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{HZ3CQCSSZS2MYYIMAXD7D2VHX6}

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	2026-05-18T04:08:44.606171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e76280a52ccb4cc610c05c7f1eaa7bf808ba73dcb0ca555c25d42b46a208134

Aliases

arxiv: 1106.4027 · arxiv_version: 1106.4027v1 · doi: 10.48550/arxiv.1106.4027 · pith_short_12: HZ3CQCSSZS2M · pith_short_16: HZ3CQCSSZS2MYYIM · pith_short_8: HZ3CQCSS

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/HZ3CQCSSZS2MYYIMAXD7D2VHX6 \
  | 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: 3e76280a52ccb4cc610c05c7f1eaa7bf808ba73dcb0ca555c25d42b46a208134

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fe64690cff67d887e0773e0b5f28c077878162b20ca71e55b666f99df06ca89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-06-20T20:11:00Z",
    "title_canon_sha256": "de83b9ff9c96d3e5d1783d4046a06def476fd0fbe63e7af694207a80007b1f98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4027",
    "kind": "arxiv",
    "version": 1
  }
}