Pith Number

pith:6AVWGYUP

pith:2014:6AVWGYUPHIBVQOHSGDM5ATTZKL

not attested not anchored not stored refs pending

(Quasi)-exact-solvability on the sphere $S^n$

Alexander V. Turbiner, Jr., Willard Miller

arxiv:1411.2113 v1 · 2014-11-08 · 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{6AVWGYUPHIBVQOHSGDM5ATTZKL}

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	2026-05-18T00:53:24.766977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f02b63628f3a035838f230d9d04e7952c05934b0fc032e64ea711c8e8e88531d

Aliases

arxiv: 1411.2113 · arxiv_version: 1411.2113v1 · doi: 10.48550/arxiv.1411.2113 · pith_short_12: 6AVWGYUPHIBV · pith_short_16: 6AVWGYUPHIBVQOHS · pith_short_8: 6AVWGYUP

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/6AVWGYUPHIBVQOHSGDM5ATTZKL \
  | 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: f02b63628f3a035838f230d9d04e7952c05934b0fc032e64ea711c8e8e88531d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4c1f4f2c0aa63c5e8d441f54f6a9655bcc4984034dc12dc8e4641996afca54b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-11-08T12:37:26Z",
    "title_canon_sha256": "fbc417db9247953f901921a77a9e38b9f88c6b8d3135c6715605803b9fd9536e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2113",
    "kind": "arxiv",
    "version": 1
  }
}