Pith Number

pith:HGMZAHL5

pith:2021:HGMZAHL5ML3V4BBZRMLZQCRMM6

not attested not anchored not stored refs pending

Shifted Quiver Quantum Toroidal Algebra and Subcrystal Representations

Akimi Watanabe, Go Noshita

arxiv:2109.02045 v4 · 2021-09-05 · 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{HGMZAHL5ML3V4BBZRMLZQCRMM6}

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

Shifted quantum toroidal algebra of type $\mathfrak{gl}_{1|1}$ and the Pieri rule of the super Macdonald polynomials

Receipt and verification

First computed	2026-07-05T04:25:45.373217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3999901d7d62f75e04398b17980a2c67bfa93a8b78e19150944f6ba72b796537

Aliases

arxiv: 2109.02045 · arxiv_version: 2109.02045v4 · doi: 10.48550/arxiv.2109.02045 · pith_short_12: HGMZAHL5ML3V · pith_short_16: HGMZAHL5ML3V4BBZ · pith_short_8: HGMZAHL5

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/HGMZAHL5ML3V4BBZRMLZQCRMM6 \
  | 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: 3999901d7d62f75e04398b17980a2c67bfa93a8b78e19150944f6ba72b796537

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "057d9328b6dff83ee4656195cdf92390a6955cfc1e661f7d4bad59587d845405",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-09-05T11:49:19Z",
    "title_canon_sha256": "33647beee5de069c542ca2d2270dfb02c2d3f912e286ed6761f4212101cccdf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.02045",
    "kind": "arxiv",
    "version": 4
  }
}