Pith Number

pith:L34LOFQI

pith:2016:L34LOFQIHLM37Z2DFSOAQMV5DL

not attested not anchored not stored refs pending

The Picard-Vessiot theory, constrained cohomology, and linear differential algebraic groups

Anand Pillay

arxiv:1610.09548 v1 · 2016-10-29 · 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{L34LOFQIHLM37Z2DFSOAQMV5DL}

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	2026-05-18T01:00:51.702238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ef8b716083ad9bfe7432c9c0832bd1ad87c37dc25b1c0b3c6926661194b6e79

Aliases

arxiv: 1610.09548 · arxiv_version: 1610.09548v1 · doi: 10.48550/arxiv.1610.09548 · pith_short_12: L34LOFQIHLM3 · pith_short_16: L34LOFQIHLM37Z2D · pith_short_8: L34LOFQI

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/L34LOFQIHLM37Z2DFSOAQMV5DL \
  | 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: 5ef8b716083ad9bfe7432c9c0832bd1ad87c37dc25b1c0b3c6926661194b6e79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb5a75ba0bf21b28aeddf91f3ce350d9a50280ed215fddab16f46f7a44a52b5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-10-29T17:49:26Z",
    "title_canon_sha256": "9994a18279d740a4f74a3579a521e5048a7d75f4b86fa5035716789813c797bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09548",
    "kind": "arxiv",
    "version": 1
  }
}