Pith Number

pith:LB7PH3IQ

pith:2010:LB7PH3IQFYUXJACKVMMYTI7E7Y

not attested not anchored not stored refs pending

Collective versus Single--Particle Motion in Quantum Many--Body Systems: Spreading and its Semiclassical Interpretation

Boris Gutkin, Jens Hammerling, Thomas Guhr

arxiv:1012.3111 v1 · 2010-12-14 · quant-ph · nlin.CD

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LB7PH3IQFYUXJACKVMMYTI7E7Y}

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	2026-05-18T02:04:24.850194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

587ef3ed102e2974804aab1989a3e4fe1a00ec8eaf7845135e5e4c0f2c99848b

Aliases

arxiv: 1012.3111 · arxiv_version: 1012.3111v1 · doi: 10.48550/arxiv.1012.3111 · pith_short_12: LB7PH3IQFYUX · pith_short_16: LB7PH3IQFYUXJACK · pith_short_8: LB7PH3IQ

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/LB7PH3IQFYUXJACKVMMYTI7E7Y \
  | 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: 587ef3ed102e2974804aab1989a3e4fe1a00ec8eaf7845135e5e4c0f2c99848b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59f6b134425b451859da8b8eeb11ae46ec54fa19bf37d02e7f8fe6be8ff25879",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-12-14T18:06:37Z",
    "title_canon_sha256": "4c29ac9110ee936e890432775f14263f73e84d0d67a99aa3a9247fb98eef2ae5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3111",
    "kind": "arxiv",
    "version": 1
  }
}