Pith Number

pith:BBFAC5RG

pith:2016:BBFAC5RGPZJ72WADXFN6UX3CIJ

not attested not anchored not stored refs pending

Exactly solvable $N$-body quantum systems with $N=3^k \ ( k \geq 2)$ in the $D=1$ dimensional space

A. Bachkhaznadji, M. Lassaut

arxiv:1608.08479 v1 · 2016-08-30 · 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{BBFAC5RGPZJ72WADXFN6UX3CIJ}

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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	2026-05-18T01:07:18.033618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

084a0176267e53fd5803b95bea5f624243916234b88d6b50f0b9322ab62f6de3

Aliases

arxiv: 1608.08479 · arxiv_version: 1608.08479v1 · doi: 10.48550/arxiv.1608.08479 · pith_short_12: BBFAC5RGPZJ7 · pith_short_16: BBFAC5RGPZJ72WAD · pith_short_8: BBFAC5RG

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/BBFAC5RGPZJ72WADXFN6UX3CIJ \
  | 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: 084a0176267e53fd5803b95bea5f624243916234b88d6b50f0b9322ab62f6de3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bccb4b82dc4911a2aeb9ba61f12508e8a8358c118a5354c9d237d42a01b43d9",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-08-30T14:43:00Z",
    "title_canon_sha256": "0e4ad787e4d015e48b506b7c0a08acd6df94dd1b77d5fae5c1bf8880bfda76a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08479",
    "kind": "arxiv",
    "version": 1
  }
}