Pith Number

pith:SYZOX7GJ

pith:2011:SYZOX7GJFVYNUK7TDE24ZV3BS4

not attested not anchored not stored refs pending

Sparseness of t-structures and negative Calabi-Yau dimension in triangulated categories generated by a spherical object

Dong Yang, Peter Jorgensen, Thorsten Holm

arxiv:1108.2195 v1 · 2011-08-10 · 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{SYZOX7GJFVYNUK7TDE24ZV3BS4}

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	2026-05-18T02:58:00.653267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9632ebfcc92d70da2bf31935ccd7619727d4f3bd329d2617bc1001f4c5c75081

Aliases

arxiv: 1108.2195 · arxiv_version: 1108.2195v1 · doi: 10.48550/arxiv.1108.2195 · pith_short_12: SYZOX7GJFVYN · pith_short_16: SYZOX7GJFVYNUK7T · pith_short_8: SYZOX7GJ

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/SYZOX7GJFVYNUK7TDE24ZV3BS4 \
  | 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: 9632ebfcc92d70da2bf31935ccd7619727d4f3bd329d2617bc1001f4c5c75081

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f36590c97b7b7d2f47055e9cb4fda3c836631bcabd1022c7dda01b04d11a8379",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-08-10T15:03:03Z",
    "title_canon_sha256": "85ae6302b39bd178102c217ff1387b4403502cec508e20f854f8040de6c0b493"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2195",
    "kind": "arxiv",
    "version": 1
  }
}