Pith Number

pith:2RI4ZBCO

pith:2019:2RI4ZBCOVXUW7F5B3UPKUWY7GT

not attested not anchored not stored refs pending

The wall-chamber structures of the real Grothendieck groups

Sota Asai

arxiv:1905.02180 v2 · 2019-05-06 · 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{2RI4ZBCOVXUW7F5B3UPKUWY7GT}

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

Two-term tilting complexes for preprojective algebras of non-Dynkin type

Receipt and verification

First computed	2026-07-05T00:55:57.070191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d451cc844eade96f97a1dd1eaa5b1f34c79c186e2c01d259dc648ea9c573300c

Aliases

arxiv: 1905.02180 · arxiv_version: 1905.02180v2 · doi: 10.48550/arxiv.1905.02180 · pith_short_12: 2RI4ZBCOVXUW · pith_short_16: 2RI4ZBCOVXUW7F5B · pith_short_8: 2RI4ZBCO

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/2RI4ZBCOVXUW7F5B3UPKUWY7GT \
  | 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: d451cc844eade96f97a1dd1eaa5b1f34c79c186e2c01d259dc648ea9c573300c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0a23fa5015acfdea9b73b613fe9349551ac71b2d7ac98653dff4748f6c85ad6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-05-06T17:54:35Z",
    "title_canon_sha256": "52bdab88e46c96c503fcf714914ed0035483076622758cfff0a43aa923de545e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02180",
    "kind": "arxiv",
    "version": 2
  }
}