Pith Number

pith:VBIAOTNI

pith:2022:VBIAOTNI7DMHFPUAP43UXGGTEK

not attested not anchored not stored refs pending

Fans and polytopes in tilting theory I: Foundations

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

arxiv:2203.15213 v4 · 2022-03-29 · math.RT · math.CO · math.CT · 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{VBIAOTNI7DMHFPUAP43UXGGTEK}

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

3 papers in Pith

Locally anti-blocking $\mathbf{g}$-polytopes for flow polytopes

The interval neighborhoods in the real Grothendieck groups

Bicompact torsion classes and conjectures on brick infinite algebras

Receipt and verification

First computed	2026-07-05T08:28:31.064867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a850074da8f8d872be807f374b98d3229ec3708f87372fd8909bc5d67e55e5c9

Aliases

arxiv: 2203.15213 · arxiv_version: 2203.15213v4 · doi: 10.48550/arxiv.2203.15213 · pith_short_12: VBIAOTNI7DMH · pith_short_16: VBIAOTNI7DMHFPUA · pith_short_8: VBIAOTNI

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/VBIAOTNI7DMHFPUAP43UXGGTEK \
  | 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: a850074da8f8d872be807f374b98d3229ec3708f87372fd8909bc5d67e55e5c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94c9623bf04f314e768c92e42723a98ce203e415fabc8996145b6dd125d01561",
    "cross_cats_sorted": [
      "math.CO",
      "math.CT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2022-03-29T03:14:53Z",
    "title_canon_sha256": "78cb1a559ea480c0dc80b8bb6cc6dd7e87d7fa8c721ae66060a9efd51892cf54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.15213",
    "kind": "arxiv",
    "version": 4
  }
}