Pith Number

pith:QYFIN6DP

pith:2015:QYFIN6DPUVV546LTZV2OEOHJOJ

not attested not anchored not stored refs pending

Oscillator versus prefundamental representations

A. Kl\"umper, A. V. Razumov, F. G\"ohmann, H. Boos, Kh. S. Nirov

arxiv:1512.04446 v1 · 2015-12-14 · 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{QYFIN6DPUVV546LTZV2OEOHJOJ}

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	2026-05-18T00:38:04.593856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

860a86f86fa56bde7973cd74e238e9726ad74f04c091a1c3251fe9132dd6ec07

Aliases

arxiv: 1512.04446 · arxiv_version: 1512.04446v1 · doi: 10.48550/arxiv.1512.04446 · pith_short_12: QYFIN6DPUVV5 · pith_short_16: QYFIN6DPUVV546LT · pith_short_8: QYFIN6DP

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/QYFIN6DPUVV546LTZV2OEOHJOJ \
  | 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: 860a86f86fa56bde7973cd74e238e9726ad74f04c091a1c3251fe9132dd6ec07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "def5949167bc6f6a64f1da4ef1600d6f4ceb8bce9b74c020f2276b8339a8fb21",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-12-14T18:32:05Z",
    "title_canon_sha256": "5c8eaa1c8b3c61a703440cb0172c36eab65b1bbd7d202ea88802173224a18305"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04446",
    "kind": "arxiv",
    "version": 1
  }
}