Pith Number

pith:AQ2WE2W3

pith:2011:AQ2WE2W3P7RNDHCO7KCB5WJRYN

not attested not anchored not stored refs pending

The Loschmidt Echo as a robust decoherence quantifier for many-body systems

Axel D. Dente, Horacio M. Pastawski, Pablo R. Zangara, Patricia R. Levstein

arxiv:1111.2004 v3 · 2011-11-08 · 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{AQ2WE2W3P7RNDHCO7KCB5WJRYN}

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	2026-05-18T03:50:22.998942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0435626adb7fe2d19c4efa841ed931c3675589c8c5b7ebb9c8ed60575ca21928

Aliases

arxiv: 1111.2004 · arxiv_version: 1111.2004v3 · doi: 10.48550/arxiv.1111.2004 · pith_short_12: AQ2WE2W3P7RN · pith_short_16: AQ2WE2W3P7RNDHCO · pith_short_8: AQ2WE2W3

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/AQ2WE2W3P7RNDHCO7KCB5WJRYN \
  | 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: 0435626adb7fe2d19c4efa841ed931c3675589c8c5b7ebb9c8ed60575ca21928

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ad9be94e42968f0e8c989ac7bfd07b4bf72440d44b0fbb6ad31b83e3da35355",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-11-08T18:34:31Z",
    "title_canon_sha256": "7258c53993daca053b073a27cf974d7b90c220c0019f507303f2856ba51e197f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2004",
    "kind": "arxiv",
    "version": 3
  }
}