Pith Number

pith:XOYIKNR5

pith:2021:XOYIKNR5SR675JMTFOZ7EKZ55D

not attested not anchored not stored refs pending

Duality Cascades and Affine Weyl Groups

Kazunobu Matsumura, Sanefumi Moriyama, Tomohiro Furukawa, Tomoki Nakanishi

arxiv:2112.13616 v3 · 2021-12-27 · 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{XOYIKNR5SR675JMTFOZ7EKZ55D}

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

Factorized Quantum Curves and Minuscule Vertices in 3D Duality Cascades with FI Parameters

Receipt and verification

First computed	2026-07-05T04:29:53.048172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbb085363d947dfea5932bb3f22b3de8f14e9b6f3a6143e2957356fbb8dc6bd6

Aliases

arxiv: 2112.13616 · arxiv_version: 2112.13616v3 · doi: 10.48550/arxiv.2112.13616 · pith_short_12: XOYIKNR5SR67 · pith_short_16: XOYIKNR5SR675JMT · pith_short_8: XOYIKNR5

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/XOYIKNR5SR675JMTFOZ7EKZ55D \
  | 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: bbb085363d947dfea5932bb3f22b3de8f14e9b6f3a6143e2957356fbb8dc6bd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "652d74fd48967a940e8fd5ddd104df2ad97f85e2e2c77b731852a8168b4ac028",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-12-27T11:36:15Z",
    "title_canon_sha256": "49073717e16d41b1c0dc6392a416f6a75e7d82726c918938635fced5a40da78a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.13616",
    "kind": "arxiv",
    "version": 3
  }
}