Pith Number

pith:6GP6CXHO

pith:2010:6GP6CXHOXRHCQWNM5YAVFPRY5C

not attested not anchored not stored refs pending

Galois theory of difference equations with periodic parameters

Alexey Ovchinnikov, Benjamin Antieau, Dmitry Trushin

arxiv:1009.1159 v4 · 2010-09-06 · math.AC · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GP6CXHOXRHCQWNM5YAVFPRY5C}

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	2026-05-18T02:53:30.697664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f19fe15ceebc4e2859acee0152be38e8afd9b5235f384eca9cd1be787966deaa

Aliases

arxiv: 1009.1159 · arxiv_version: 1009.1159v4 · doi: 10.48550/arxiv.1009.1159 · pith_short_12: 6GP6CXHOXRHC · pith_short_16: 6GP6CXHOXRHCQWNM · pith_short_8: 6GP6CXHO

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/6GP6CXHOXRHCQWNM5YAVFPRY5C \
  | 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: f19fe15ceebc4e2859acee0152be38e8afd9b5235f384eca9cd1be787966deaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cf313cbbebbf4550497682f459631fac7ce6bb50c522eac6d9f02ba9d7bbdd4",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-09-06T20:42:47Z",
    "title_canon_sha256": "685fdc9f57a470594b835635c414d42c0c48a562d3b6c3b25c1f7a894535dc05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1159",
    "kind": "arxiv",
    "version": 4
  }
}