Pith Number

pith:SPWOXFJ6

pith:2016:SPWOXFJ6CMP3BXU5HKU2DVNYCR

not attested not anchored not stored refs pending

Galois groups for integrable and projectively integrable linear difference equations

Carlos E. Arreche, Michael F. Singer

arxiv:1608.00015 v1 · 2016-07-29 · math.AC · math.CA · 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{SPWOXFJ6CMP3BXU5HKU2DVNYCR}

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	2026-05-18T00:47:54.759373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93eceb953e131fb0de9d3aa9a1d5b81462eee845bae18726dec5d466e6dc79fe

Aliases

arxiv: 1608.00015 · arxiv_version: 1608.00015v1 · doi: 10.48550/arxiv.1608.00015 · pith_short_12: SPWOXFJ6CMP3 · pith_short_16: SPWOXFJ6CMP3BXU5 · pith_short_8: SPWOXFJ6

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/SPWOXFJ6CMP3BXU5HKU2DVNYCR \
  | 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: 93eceb953e131fb0de9d3aa9a1d5b81462eee845bae18726dec5d466e6dc79fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc697da5be1ee831de102296a8e9906edb2ceadefe5a9e6cc84b5ea6cd3f342f",
    "cross_cats_sorted": [
      "math.CA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-07-29T20:09:59Z",
    "title_canon_sha256": "ad995f7ace7af336f6507754a1dac23d25a7517c77a1082888d47ea84e04b3c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00015",
    "kind": "arxiv",
    "version": 1
  }
}