Pith Number

pith:SZWU3HU2

pith:2016:SZWU3HU2OYUCV2KSP7I7U7A7OK

not attested not anchored not stored refs pending

Hamiltonian for the zeros of the Riemann zeta function

Carl M. Bender, Dorje C. Brody, Markus P. M\"uller

arxiv:1608.03679 v4 · 2016-08-12 · quant-ph · math-ph · math.FA · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SZWU3HU2OYUCV2KSP7I7U7A7OK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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.

Cited by

1 paper in Pith

The Free Particle--Oscillator--Inverted Oscillator Triangle: Conformal Bridges, Metaplectic Rotations and $\mathfrak{osp}(1|2)$ Structure

Receipt and verification

First computed	2026-05-18T00:47:26.906689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

966d4d9e9a76282ae9527fd1fa7c1f72bd29073bc0528aba537368a3b9b8ee44

Aliases

arxiv: 1608.03679 · arxiv_version: 1608.03679v4 · doi: 10.48550/arxiv.1608.03679 · pith_short_12: SZWU3HU2OYUC · pith_short_16: SZWU3HU2OYUCV2KS · pith_short_8: SZWU3HU2

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/SZWU3HU2OYUCV2KSP7I7U7A7OK \
  | 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: 966d4d9e9a76282ae9527fd1fa7c1f72bd29073bc0528aba537368a3b9b8ee44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "728e7ae4504ab74d617a9b75b1dc82a1f427489ef6f8d93da5cbeeae0e4e6eeb",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-08-12T05:08:32Z",
    "title_canon_sha256": "c3e3f920a2dcf496a1a57355fdb8a35a911042ee579ab7815cee480ac62c0fa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03679",
    "kind": "arxiv",
    "version": 4
  }
}