Pith Number

pith:Y25RCQR4

pith:2010:Y25RCQR47TILLEU2XIC43IFEXP

not attested not anchored not stored refs pending

On unipotent algebraic G-groups and 1-cohomology

David I. Stewart

arxiv:1011.1183 v6 · 2010-11-04 · math.GR · math.RA · 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{Y25RCQR47TILLEU2XIC43IFEXP}

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	2026-05-18T03:19:22.740484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6bb11423cfcd0b5929aba05cda0a4bbe1c5869c1c5250c26e85e327f47f32b7

Aliases

arxiv: 1011.1183 · arxiv_version: 1011.1183v6 · doi: 10.48550/arxiv.1011.1183 · pith_short_12: Y25RCQR47TIL · pith_short_16: Y25RCQR47TILLEU2 · pith_short_8: Y25RCQR4

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/Y25RCQR47TILLEU2XIC43IFEXP \
  | 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: c6bb11423cfcd0b5929aba05cda0a4bbe1c5869c1c5250c26e85e327f47f32b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a531f4bacb156010e5b6000f5474e9e28ae95aab8e6ba7fc042154db3a5051e",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-11-04T15:09:34Z",
    "title_canon_sha256": "57d3435b4449047307d47c3a5d9cd6dddf5dcd008cdabcebbc161478bbb20ee5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1183",
    "kind": "arxiv",
    "version": 6
  }
}