Pith Number

pith:YPAPH75U

pith:2011:YPAPH75U4IAMU7N35FWP6IY443

not attested not anchored not stored refs pending

Whittaker pairs for the Virasoro algebra and the Gaiotto - BMT states

Ewa Felinska, Michal Kosztolowicz, Zbigniew Jaskolski

arxiv:1112.4453 v2 · 2011-12-19 · math-ph · hep-th · 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{YPAPH75U4IAMU7N35FWP6IY443}

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	2026-05-18T01:59:05.367934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3c0f3ffb4e200ca7dbbe96cff231ce6e07176a073a8228f8692dda05a018bd3

Aliases

arxiv: 1112.4453 · arxiv_version: 1112.4453v2 · doi: 10.48550/arxiv.1112.4453 · pith_short_12: YPAPH75U4IAM · pith_short_16: YPAPH75U4IAMU7N3 · pith_short_8: YPAPH75U

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/YPAPH75U4IAMU7N35FWP6IY443 \
  | 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: c3c0f3ffb4e200ca7dbbe96cff231ce6e07176a073a8228f8692dda05a018bd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb385ab4f698243edf237c4126e87ac7faa4be696f35abbca5e96d8b10f0d1c7",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-19T20:14:25Z",
    "title_canon_sha256": "469257913744b261d59c9f61be123f794157c4140b4ea99102a6570cee44e634"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4453",
    "kind": "arxiv",
    "version": 2
  }
}