Pith Number

pith:XHVUKCT6

pith:2023:XHVUKCT64G4LRFRPTFR35IDBNN

not attested not anchored not stored refs pending

Fans and polytopes in tilting theory II: $g$-fans of rank 2

Akihiro Higashitani, Osamu Iyama, Ryoichi Kase, Toshitaka Aoki, Yuya Mizuno

arxiv:2301.01498 v2 · 2023-01-04 · math.RT · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XHVUKCT64G4LRFRPTFR35IDBNN}

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	2026-07-05T06:12:41.681406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9eb450a7ee1b8b8962f9963bea0616b6854d0a2e06bcc8353593f4a5cc5182c

Aliases

arxiv: 2301.01498 · arxiv_version: 2301.01498v2 · doi: 10.48550/arxiv.2301.01498 · pith_short_12: XHVUKCT64G4L · pith_short_16: XHVUKCT64G4LRFRP · pith_short_8: XHVUKCT6

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/XHVUKCT64G4LRFRPTFR35IDBNN \
  | 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: b9eb450a7ee1b8b8962f9963bea0616b6854d0a2e06bcc8353593f4a5cc5182c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f127ae1f6e7f3cd3d59dde1cb94f46b9fb10de210adb811217df360a44cbaa3",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2023-01-04T09:12:35Z",
    "title_canon_sha256": "f7735d497734d47d2871f949f4fc946c21c95b2811195c6b29649d3d96820f30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.01498",
    "kind": "arxiv",
    "version": 2
  }
}