Pith Number

pith:K2TBQTMN

pith:2016:K2TBQTMNNLCS42S37TPU42DMDA

not attested not anchored not stored refs pending

Macdonald Index and Chiral Algebra

Jaewon Song

arxiv:1612.08956 v3 · 2016-12-28 · hep-th · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K2TBQTMNNLCS42S37TPU42DMDA}

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.

Cited by

1 paper in Pith

Macdonald Index From Refined Kontsevich-Soibelman Operator

Receipt and verification

First computed	2026-05-18T00:35:24.082443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56a6184d8d6ac52e6a5bfcdf4e686c1809248b41b56d7ed961925d0edd9eb956

Aliases

arxiv: 1612.08956 · arxiv_version: 1612.08956v3 · doi: 10.48550/arxiv.1612.08956 · pith_short_12: K2TBQTMNNLCS · pith_short_16: K2TBQTMNNLCS42S3 · pith_short_8: K2TBQTMN

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/K2TBQTMNNLCS42S37TPU42DMDA \
  | 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: 56a6184d8d6ac52e6a5bfcdf4e686c1809248b41b56d7ed961925d0edd9eb956

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12854430481f94e6c649624eeb6d0483329fd661b887ccad619b30f72e3aeac9",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-12-28T19:25:42Z",
    "title_canon_sha256": "64e19b04c2527c82e44597c655424971e1f7e09c348057011492dc4605a8ffd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08956",
    "kind": "arxiv",
    "version": 3
  }
}