Pith Number

pith:6C6JVCQ2

pith:2013:6C6JVCQ2Y3LDVNSBOLO6R4ZDS4

not attested not anchored not stored refs pending

Spectral analysis of non-commutative harmonic oscillators: the lowest eigenvalue and no crossing

Fumio Hiroshima, Itaru Sasaki

arxiv:1304.5578 v2 · 2013-04-20 · 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{6C6JVCQ2Y3LDVNSBOLO6R4ZDS4}

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	2026-05-18T03:21:00.249876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0bc9a8a1ac6d63ab64172dde8f32397196387a2b2cd9e7b135fe88fa5f3958a

Aliases

arxiv: 1304.5578 · arxiv_version: 1304.5578v2 · doi: 10.48550/arxiv.1304.5578 · pith_short_12: 6C6JVCQ2Y3LD · pith_short_16: 6C6JVCQ2Y3LDVNSB · pith_short_8: 6C6JVCQ2

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/6C6JVCQ2Y3LDVNSBOLO6R4ZDS4 \
  | 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: f0bc9a8a1ac6d63ab64172dde8f32397196387a2b2cd9e7b135fe88fa5f3958a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c62238deceaf3cb62e9a6dff3d52c85c3d05c24f13e1db570e09e09d292464a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-04-20T01:51:03Z",
    "title_canon_sha256": "3a551c0ad94d8bab2b82591e4f3e50cdd39d11ed1df0dac7179fa5b376259297"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5578",
    "kind": "arxiv",
    "version": 2
  }
}