Pith Number

pith:LGZLBI4J

pith:2024:LGZLBI4JEYUTIEEBEN7GAXAKGP

not attested not anchored not stored refs pending

Explicit expressions for Virasoro singular vectors

G\'erard M T Watts

arxiv:2412.07505 v2 · 2024-12-10 · hep-th · math-ph · math.MP · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGZLBI4JEYUTIEEBEN7GAXAKGP}

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	2026-07-05T09:48:17.909298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59b2b0a3892629341081237e605c0a33c348b4fdf1efad6a964d1e7ada903843

Aliases

arxiv: 2412.07505 · arxiv_version: 2412.07505v2 · doi: 10.48550/arxiv.2412.07505 · pith_short_12: LGZLBI4JEYUT · pith_short_16: LGZLBI4JEYUTIEEB · pith_short_8: LGZLBI4J

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/LGZLBI4JEYUTIEEBEN7GAXAKGP \
  | 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: 59b2b0a3892629341081237e605c0a33c348b4fdf1efad6a964d1e7ada903843

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a94420dd805a818be2bee9737a4b290a78811559cecd8c223ad3170ca05f5dc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-12-10T13:38:27Z",
    "title_canon_sha256": "7e22d964d6e021e72703350f56559cb1b4f140c0529230ec9f9e8a3f50700062"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.07505",
    "kind": "arxiv",
    "version": 2
  }
}