Pith Number

pith:RGTMJDMB

pith:2009:RGTMJDMBG4CSA7JJRBUZ4DBDU5

not attested not anchored not stored refs pending

Stability conditions, torsion theories and tilting

Jon Woolf

arxiv:0909.0552 v2 · 2009-09-02 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RGTMJDMBG4CSA7JJRBUZ4DBDU5}

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

Fishing for complements

Receipt and verification

First computed	2026-05-18T02:24:47.423887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89a6c48d813705207d2988699e0c23a754831331bbaf507fd61b740a162adb8d

Aliases

arxiv: 0909.0552 · arxiv_version: 0909.0552v2 · doi: 10.48550/arxiv.0909.0552 · pith_short_12: RGTMJDMBG4CS · pith_short_16: RGTMJDMBG4CSA7JJ · pith_short_8: RGTMJDMB

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/RGTMJDMBG4CSA7JJRBUZ4DBDU5 \
  | 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: 89a6c48d813705207d2988699e0c23a754831331bbaf507fd61b740a162adb8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2c0619261b91a58f94bd79b8a7dd48c5279662bb30c15dab966bbd335b8c6d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-09-02T23:41:10Z",
    "title_canon_sha256": "9daa76882be8268290f9a4491db0bb24f0cdd24e07df1c1a89d173cc23b86b42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0552",
    "kind": "arxiv",
    "version": 2
  }
}