Pith Number

pith:22NEQH36

pith:2006:22NEQH36VNHFZSX5HTTIVE2TFH

not attested not anchored not stored refs pending

Loschmidt echo in a system of interacting electrons

G. Manfredi, P.-A. Hervieux

arxiv:quant-ph/0610169 v1 · 2006-10-20 · 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{22NEQH36VNHFZSX5HTTIVE2TFH}

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	2026-07-04T17:03:35.433976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d69a481f7eab4e5ccafd3ce68a935329dff0e4a2bcf1cea48ac5a0ab56114bfd

Aliases

arxiv: quant-ph/0610169 · arxiv_version: quant-ph/0610169v1 · doi: 10.48550/arxiv.quant-ph/0610169 · pith_short_12: 22NEQH36VNHF · pith_short_16: 22NEQH36VNHFZSX5 · pith_short_8: 22NEQH36

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/22NEQH36VNHFZSX5HTTIVE2TFH \
  | 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: d69a481f7eab4e5ccafd3ce68a935329dff0e4a2bcf1cea48ac5a0ab56114bfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c358653e891ac0944f69ad1fb216e7cc4663bf07d83faa782ce7a4e6c1ef20d8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-10-20T08:20:23Z",
    "title_canon_sha256": "f0b97f8ab5b40b172f12de47d5affa16767cf3a02950f3b2bd56801cff29aa69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0610169",
    "kind": "arxiv",
    "version": 1
  }
}