Pith Number

pith:4VFNZNQV

pith:2012:4VFNZNQVWHNYPT5QNZ47ID57ZW

not attested not anchored not stored refs pending

Infinite families of (non)-Hermitian Hamiltonians associated with exceptional $X_m$ Jacobi polynomials

Barnana Roy, Bikashkali Midya

arxiv:1210.0119 v2 · 2012-09-29 · math-ph · hep-th · math.CA · 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{4VFNZNQVWHNYPT5QNZ47ID57ZW}

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	2026-05-18T03:28:53.646345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e54adcb615b1db87cfb06e79f40fbfcd8bdf3f69ccb3ec74ab7ddb6720867a6c

Aliases

arxiv: 1210.0119 · arxiv_version: 1210.0119v2 · doi: 10.48550/arxiv.1210.0119 · pith_short_12: 4VFNZNQVWHNY · pith_short_16: 4VFNZNQVWHNYPT5Q · pith_short_8: 4VFNZNQV

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/4VFNZNQVWHNYPT5QNZ47ID57ZW \
  | 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: e54adcb615b1db87cfb06e79f40fbfcd8bdf3f69ccb3ec74ab7ddb6720867a6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40bdaa063c34e4fec461b684a0f70482cf5d9389e05ecfb6cbf2c2d3eedf1cc1",
    "cross_cats_sorted": [
      "hep-th",
      "math.CA",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-29T15:59:44Z",
    "title_canon_sha256": "2c326b77d068690133464b5019a1fe12c3dd5219589849d762b7e39359219ede"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0119",
    "kind": "arxiv",
    "version": 2
  }
}