Pith Number

pith:MMCK6VZB

pith:2014:MMCK6VZBI3U7HTMO4T4NBEWHYQ

not attested not anchored not stored refs pending

Generalized Macdonald polynomials, spectral duality for conformal blocks and AGT correspondence in five dimensions

Yegor Zenkevich

arxiv:1412.8592 v2 · 2014-12-30 · hep-th · 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{MMCK6VZBI3U7HTMO4T4NBEWHYQ}

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	2026-05-18T01:26:18.778558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6304af572146e9f3cd8ee4f8d092c7c40eee5ca21e2421e124fbec8b8b76f652

Aliases

arxiv: 1412.8592 · arxiv_version: 1412.8592v2 · doi: 10.48550/arxiv.1412.8592 · pith_short_12: MMCK6VZBI3U7 · pith_short_16: MMCK6VZBI3U7HTMO · pith_short_8: MMCK6VZB

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/MMCK6VZBI3U7HTMO4T4NBEWHYQ \
  | 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: 6304af572146e9f3cd8ee4f8d092c7c40eee5ca21e2421e124fbec8b8b76f652

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5e19d7fe3c373f759ae3cb7254e99bb1bb7042cff9318f154ce525d911a93c2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-12-30T09:33:59Z",
    "title_canon_sha256": "2fd69120cbdf9bf073b02f37fc416aab6c4ac43afdf574042793f482a946cda0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8592",
    "kind": "arxiv",
    "version": 2
  }
}