Pith Number

pith:VJOEEI5I

pith:2014:VJOEEI5ISPZM6KC4MS3PM5NEJ6

not attested not anchored not stored refs pending

Symmetries of the Schr\"odinger Equation and Algebra/Superalgebra Duality

Francesco Toppan

arxiv:1411.7867 v1 · 2014-11-28 · math-ph · hep-th · 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{VJOEEI5ISPZM6KC4MS3PM5NEJ6}

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	2026-05-18T01:37:35.384144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa5c4223a893f2cf285c64b6f675a44fb30df462cedda7529b12893d6b7e0423

Aliases

arxiv: 1411.7867 · arxiv_version: 1411.7867v1 · doi: 10.48550/arxiv.1411.7867 · pith_short_12: VJOEEI5ISPZM · pith_short_16: VJOEEI5ISPZM6KC4 · pith_short_8: VJOEEI5I

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/VJOEEI5ISPZM6KC4MS3PM5NEJ6 \
  | 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: aa5c4223a893f2cf285c64b6f675a44fb30df462cedda7529b12893d6b7e0423

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a5a98781920306953fa2f615d5fc1ab7266baef14107d874eaac80390d3c990",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-11-28T13:45:43Z",
    "title_canon_sha256": "8d5800d9fe984372b42875666eabd0330e6c531f217c91569b609ee4616d8a4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7867",
    "kind": "arxiv",
    "version": 1
  }
}