Pith Number

pith:Z53BRHWL

pith:2026:Z53BRHWL7E5JVQUV356SZ2UI2R

not attested not anchored not stored refs pending

Existence and Uniqueness of Irregular Vectors of Integer and Half-Integer Ranks for the Virasoro Algebra

Hajime Nagoya

arxiv:2605.28002 v1 · 2026-05-27 · 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{Z53BRHWL7E5JVQUV356SZ2UI2R}

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	2026-05-28T01:04:55.693856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf76189ecbf93a9ac295df7d2cea88d443beed1dd7b19a170cb5922aca997e31

Aliases

arxiv: 2605.28002 · arxiv_version: 2605.28002v1 · doi: 10.48550/arxiv.2605.28002 · pith_short_12: Z53BRHWL7E5J · pith_short_16: Z53BRHWL7E5JVQUV · pith_short_8: Z53BRHWL

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/Z53BRHWL7E5JVQUV356SZ2UI2R \
  | 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: cf76189ecbf93a9ac295df7d2cea88d443beed1dd7b19a170cb5922aca997e31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0de4ef63a41e3104ccd088b8b07b52842dc09b012ca04aca910cde6bf2a9ccb",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-05-27T05:53:16Z",
    "title_canon_sha256": "a22da5356d9a6723ae770591921124f8e73c918e04ed9e760eafe401487c6943"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28002",
    "kind": "arxiv",
    "version": 1
  }
}