Pith Number

pith:3XOVOGBA

pith:2021:3XOVOGBAPA6HYJU6MX2IBJFGKA

not attested not anchored not stored refs pending

Semistable torsion classes and canonical decompositions in Grothendieck groups

Osamu Iyama, Sota Asai

arxiv:2112.14908 v3 · 2021-12-30 · 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{3XOVOGBAPA6HYJU6MX2IBJFGKA}

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

Fans and polytopes in tilting theory III: Classification of convex $g$-fans of rank 3

Receipt and verification

First computed	2026-07-05T06:11:41.582163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dddd571820783c7c269e65f480a4a6503d7654b81c26a8d85a1311c774788b21

Aliases

arxiv: 2112.14908 · arxiv_version: 2112.14908v3 · doi: 10.48550/arxiv.2112.14908 · pith_short_12: 3XOVOGBAPA6H · pith_short_16: 3XOVOGBAPA6HYJU6 · pith_short_8: 3XOVOGBA

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/3XOVOGBAPA6HYJU6MX2IBJFGKA \
  | 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: dddd571820783c7c269e65f480a4a6503d7654b81c26a8d85a1311c774788b21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2c91114e55575955fb587de3410c0265bcd15c3e8ac8429ba17ff9cba8b12eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2021-12-30T03:23:12Z",
    "title_canon_sha256": "31543de2d0679053d0825fbb67f459dbd158d6de965e97e8cbefa4266465e74b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.14908",
    "kind": "arxiv",
    "version": 3
  }
}