Pith Number

pith:DZZBGQM6

pith:2013:DZZBGQM67DXRIGT6VD6LRVNEHB

not attested not anchored not stored refs pending

Brauer-Thrall type theorems for derived module categories

Chao Zhang, Yang Han

arxiv:1310.2777 v2 · 2013-10-10 · 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{DZZBGQM67DXRIGT6VD6LRVNEHB}

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	2026-05-18T00:44:29.428943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e7213419ef8ef141a7ea8fcb8d5a438594f3bab8e9bb16f5007b0591a7d30af

Aliases

arxiv: 1310.2777 · arxiv_version: 1310.2777v2 · doi: 10.48550/arxiv.1310.2777 · pith_short_12: DZZBGQM67DXR · pith_short_16: DZZBGQM67DXRIGT6 · pith_short_8: DZZBGQM6

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/DZZBGQM67DXRIGT6VD6LRVNEHB \
  | 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: 1e7213419ef8ef141a7ea8fcb8d5a438594f3bab8e9bb16f5007b0591a7d30af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f5cd23603d70965baeed383b50c362a22f3e8f05e959c38300f316ff27135ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-10-10T11:32:51Z",
    "title_canon_sha256": "637fd6d49ad649c47f990b3aad3a9ec85015490a49718c8c1d852d434e527e26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2777",
    "kind": "arxiv",
    "version": 2
  }
}