Pith Number

pith:R7Q6GS7D

pith:2011:R7Q6GS7DQ4G2OXC5AITTI52FRW

not attested not anchored not stored refs pending

Computing the Galois group of some parameterized linear differential equation of order two

Thomas Dreyfus

arxiv:1110.1053 v5 · 2011-10-05 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R7Q6GS7DQ4G2OXC5AITTI52FRW}

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	2026-05-17T23:53:07.056150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fe1e34be3870da75c5d02273477458daeba3dd025e7d7aeb1c4bff157977150

Aliases

arxiv: 1110.1053 · arxiv_version: 1110.1053v5 · doi: 10.48550/arxiv.1110.1053 · pith_short_12: R7Q6GS7DQ4G2 · pith_short_16: R7Q6GS7DQ4G2OXC5 · pith_short_8: R7Q6GS7D

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/R7Q6GS7DQ4G2OXC5AITTI52FRW \
  | 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: 8fe1e34be3870da75c5d02273477458daeba3dd025e7d7aeb1c4bff157977150

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acde3b9b4da342c0ae973f475c73b57a297809524053a45d0f647bc8aaccf340",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-10-05T17:40:28Z",
    "title_canon_sha256": "8ce63b5f929c63490a7217c935046f36dca22e1a39231b1b612e63346c1275e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1053",
    "kind": "arxiv",
    "version": 5
  }
}