Pith Number

pith:MJ3OGHZY

pith:2017:MJ3OGHZYHN6KBDCZMUTSQ4PWBU

not attested not anchored not stored refs pending

Discrete spectra for critical Dirac-Coulomb Hamiltonians

Alessandro Michelangeli, Matteo Gallone

arxiv:1710.11389 v2 · 2017-10-31 · 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{MJ3OGHZYHN6KBDCZMUTSQ4PWBU}

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	2026-05-18T00:07:50.443538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6276e31f383b7ca08c5965272871f60d086bcc62113cf19837da0f832d995157

Aliases

arxiv: 1710.11389 · arxiv_version: 1710.11389v2 · doi: 10.48550/arxiv.1710.11389 · pith_short_12: MJ3OGHZYHN6K · pith_short_16: MJ3OGHZYHN6KBDCZ · pith_short_8: MJ3OGHZY

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/MJ3OGHZYHN6KBDCZMUTSQ4PWBU \
  | 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: 6276e31f383b7ca08c5965272871f60d086bcc62113cf19837da0f832d995157

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5ee30817291833dd92cc0291a35932015c97ba2c11165af2acc733cad772eef",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-10-31T09:29:05Z",
    "title_canon_sha256": "4ac1a7cf15cb33ae47629cf82680b25b16446bce9f4399b1d9e1bb8ff3a5becd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.11389",
    "kind": "arxiv",
    "version": 2
  }
}