Pith Number

pith:53GEADSP

pith:2010:53GEADSPVW6K2SMLI7KYPIGBXT

not attested not anchored not stored refs pending

Derived equivalences for Cohen-Macaulay Auslander algebras

Shengyong Pan

arxiv:1009.3794 v4 · 2010-09-20 · math.KT · 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{53GEADSPVW6K2SMLI7KYPIGBXT}

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	2026-05-18T01:30:43.593791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eecc400e4fadbcad498b47d587a0c1bce4533f25e873900eeb55d73d8830ff97

Aliases

arxiv: 1009.3794 · arxiv_version: 1009.3794v4 · doi: 10.48550/arxiv.1009.3794 · pith_short_12: 53GEADSPVW6K · pith_short_16: 53GEADSPVW6K2SML · pith_short_8: 53GEADSP

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/53GEADSPVW6K2SMLI7KYPIGBXT \
  | 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: eecc400e4fadbcad498b47d587a0c1bce4533f25e873900eeb55d73d8830ff97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b13d67aff7e8902b755a93d7268ce25ed4b1bc906af948489b1681b51de5f3d3",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2010-09-20T12:35:42Z",
    "title_canon_sha256": "64f6bf90e54e044fb1b2e83b355b5a57e100b4a5dc616fa92e004bcc036eafc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3794",
    "kind": "arxiv",
    "version": 4
  }
}