Pith Number

pith:GSPPHZ7Z

pith:2026:GSPPHZ7ZFIWAZXCNCW2S2FAWCP

not attested not anchored not stored refs pending

$g$-vector fans and picture categories for 0-Auslander extriangulated categories

Erlend D. B{\o}rve, Maximilian Kaipel

arxiv:2608.13175 v1 · 2026-08-13 · 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{GSPPHZ7ZFIWAZXCNCW2S2FAWCP}

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	2026-08-14T01:00:33.716471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

349ef3e7f92a2c0cdc4d15b52d141613e46130998fbb8dbbc6bde7b8dc0a36af

Aliases

arxiv: 2608.13175 · arxiv_version: 2608.13175v1 · doi: 10.48550/arxiv.2608.13175 · pith_short_12: GSPPHZ7ZFIWA · pith_short_16: GSPPHZ7ZFIWAZXCN · pith_short_8: GSPPHZ7Z

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/GSPPHZ7ZFIWAZXCNCW2S2FAWCP \
  | 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: 349ef3e7f92a2c0cdc4d15b52d141613e46130998fbb8dbbc6bde7b8dc0a36af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af9b4e1636adb4c0300ebd3660db1d02923c89d09b383f1c018fabab4af97f59",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-08-13T12:41:32Z",
    "title_canon_sha256": "7152e94683eb3b5030b7d163a6483f04099ef177353f935c6257c2101c808343"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13175",
    "kind": "arxiv",
    "version": 1
  }
}