Pith Number

pith:ELJ4VEEA

pith:2012:ELJ4VEEAOWYFEJ2XD5QZPFKR4Y

not attested not anchored not stored refs pending

Parameterized generic Galois groups for q-difference equations, followed by the appendix "The Galois D-groupoid of a q-difference system" by Anne Granier

Charlotte Hardouin, Lucia Di Vizio

arxiv:1205.1694 v1 · 2012-05-08 · math.QA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELJ4VEEAOWYFEJ2XD5QZPFKR4Y}

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	2026-05-18T03:56:09.374942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22d3ca908075b05227571f61979551e612c6e56d4cc0a1465dc42216a400f6a7

Aliases

arxiv: 1205.1694 · arxiv_version: 1205.1694v1 · doi: 10.48550/arxiv.1205.1694 · pith_short_12: ELJ4VEEAOWYF · pith_short_16: ELJ4VEEAOWYFEJ2X · pith_short_8: ELJ4VEEA

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/ELJ4VEEAOWYFEJ2XD5QZPFKR4Y \
  | 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: 22d3ca908075b05227571f61979551e612c6e56d4cc0a1465dc42216a400f6a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0659afed98596626c19a85a7173fa8db5729c21e39289f4f18370240148f5fda",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-05-08T13:33:02Z",
    "title_canon_sha256": "f5740290e8d791b4561ede0081ac6919c4e74b12f56242e88d2b1ee9df8eaa8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1694",
    "kind": "arxiv",
    "version": 1
  }
}