Pith Number

pith:FB5VFCGS

pith:2010:FB5VFCGSUFCHM6A4UGMDD5JUI5

not attested not anchored not stored refs pending

Exact solution of $D_N$ type quantum Calogero model through a mapping to free harmonic oscillators

B. Basu-Mallick, Pratyay Banerjee

arxiv:1012.4342 v1 · 2010-12-20 · nlin.SI · 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{FB5VFCGSUFCHM6A4UGMDD5JUI5}

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	2026-05-18T02:04:21.965840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

287b5288d2a14476781ca19831f53447626c58adae16ae0898a50e0484fba4b1

Aliases

arxiv: 1012.4342 · arxiv_version: 1012.4342v1 · doi: 10.48550/arxiv.1012.4342 · pith_short_12: FB5VFCGSUFCH · pith_short_16: FB5VFCGSUFCHM6A4 · pith_short_8: FB5VFCGS

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/FB5VFCGSUFCHM6A4UGMDD5JUI5 \
  | 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: 287b5288d2a14476781ca19831f53447626c58adae16ae0898a50e0484fba4b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ab626cb665ba4fdd4a86d702293b6279ef9dc4b754b6180c0f30ed0eae9ee6f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2010-12-20T14:21:06Z",
    "title_canon_sha256": "a1777d04588fd32cdc7f1d160b7c49ae5f02925b8aaf9d47b69329f1860c3e2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4342",
    "kind": "arxiv",
    "version": 1
  }
}