Pith Number

pith:K66K6D5C

pith:2019:K66K6D5CUH4A4MMBGONCF45HDD

not attested not anchored not stored refs pending

Gaussian concentration bound and Ensemble equivalence in generic quantum many-body systems including long-range interaction

Keiji Saito, Tomotaka Kuwahara

arxiv:1906.10872 v2 · 2019-06-26 · cond-mat.stat-mech · math-ph · math.MP · 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{K66K6D5CUH4A4MMBGONCF45HDD}

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	2026-07-05T01:27:42.416548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57bcaf0fa2a1f80e3181339a22f3a718f07280760183ed7ed56b6dd04984e544

Aliases

arxiv: 1906.10872 · arxiv_version: 1906.10872v2 · doi: 10.48550/arxiv.1906.10872 · pith_short_12: K66K6D5CUH4A · pith_short_16: K66K6D5CUH4A4MMB · pith_short_8: K66K6D5C

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/K66K6D5CUH4A4MMBGONCF45HDD \
  | 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: 57bcaf0fa2a1f80e3181339a22f3a718f07280760183ed7ed56b6dd04984e544

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc4a6ec67d79a5ee21ca38b19b7065406ea04af0e47b24bc5c171b83436dfde7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2019-06-26T06:51:00Z",
    "title_canon_sha256": "033bfcb122a9466f78c50fe3d96d3a9ac90b3ffcdc85cf24dd9c7fb980c59f02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10872",
    "kind": "arxiv",
    "version": 2
  }
}