Pith Number

pith:SP4LCPTF

pith:2010:SP4LCPTFZXCFZEXQPM5YJKAMOS

not attested not anchored not stored refs pending

A Jordan-Hoelder Theorem for Differential Algebraic Groups

Michael F. Singer, Phyllis J. Cassidy

arxiv:1003.3274 v4 · 2010-03-16 · math.CA · math.AP · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SP4LCPTFZXCFZEXQPM5YJKAMOS}

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	2026-05-18T04:39:40.798250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93f8b13e65cdc45c92f07b3b84a80c74976f4e7f847c21721ea5209213f6a159

Aliases

arxiv: 1003.3274 · arxiv_version: 1003.3274v4 · doi: 10.48550/arxiv.1003.3274 · pith_short_12: SP4LCPTFZXCF · pith_short_16: SP4LCPTFZXCFZEXQ · pith_short_8: SP4LCPTF

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/SP4LCPTFZXCFZEXQPM5YJKAMOS \
  | 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: 93f8b13e65cdc45c92f07b3b84a80c74976f4e7f847c21721ea5209213f6a159

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29c293944cb7dbee16e33036ab064d98d487f74295fb696f0eac8f85728890e0",
    "cross_cats_sorted": [
      "math.AP",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-03-16T23:35:57Z",
    "title_canon_sha256": "3a4d87c5072693579dce8a986d619772aec11063ca811ccbc29dae887b48943c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3274",
    "kind": "arxiv",
    "version": 4
  }
}