Pith Number

pith:5SO3PRCT

pith:2011:5SO3PRCTCNSV27TKXXI2EQCDBX

not attested not anchored not stored refs pending

Tilting Bundles on Rational Surfaces and Quasi-Hereditary Algebras

Lutz Hille, Markus Perling

arxiv:1110.5843 v1 · 2011-10-26 · math.AG · 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{5SO3PRCTCNSV27TKXXI2EQCDBX}

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	2026-05-18T00:41:48.151692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec9db7c45313655d7e6abdd1a240430dfd3c90eae90e5b59b50a660a20e4bb74

Aliases

arxiv: 1110.5843 · arxiv_version: 1110.5843v1 · doi: 10.48550/arxiv.1110.5843 · pith_short_12: 5SO3PRCTCNSV · pith_short_16: 5SO3PRCTCNSV27TK · pith_short_8: 5SO3PRCT

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/5SO3PRCTCNSV27TKXXI2EQCDBX \
  | 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: ec9db7c45313655d7e6abdd1a240430dfd3c90eae90e5b59b50a660a20e4bb74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ababbb07cc33567d56062e0d39bcf57318e2f16aad598ce9654209dbffe000f",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-26T17:07:29Z",
    "title_canon_sha256": "a2236e43fd0e82230373b5fbee0c306ba479c1dcf20a3f26790d98b8dee19d15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5843",
    "kind": "arxiv",
    "version": 1
  }
}