Pith Number

pith:MIP4PKHJ

pith:2016:MIP4PKHJIPSVLZOGQXLPFICMZZ

not attested not anchored not stored refs pending

KMS States of Weakly Coupled Anharmonic Crystals and the Resolvent CCR Algebra

Taku Matsui, T. Kanda

arxiv:1601.04809 v2 · 2016-01-19 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MIP4PKHJIPSVLZOGQXLPFICMZZ}

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	2026-05-18T01:13:37.766712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

621fc7a8e943e555e5c685d6f2a04cce7b9889742e06e5e9813db44557f19298

Aliases

arxiv: 1601.04809 · arxiv_version: 1601.04809v2 · doi: 10.48550/arxiv.1601.04809 · pith_short_12: MIP4PKHJIPSV · pith_short_16: MIP4PKHJIPSVLZOG · pith_short_8: MIP4PKHJ

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/MIP4PKHJIPSVLZOGQXLPFICMZZ \
  | 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: 621fc7a8e943e555e5c685d6f2a04cce7b9889742e06e5e9813db44557f19298

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb21674aead4b3a98ac91fbc3520fae90ffab245f9edc78224c5307fb7478ad6",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-01-19T07:08:24Z",
    "title_canon_sha256": "2f26c28b391013b75ab4bf93537d759e3ad4676bdb71e286627a01e729c72b64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04809",
    "kind": "arxiv",
    "version": 2
  }
}