Pith Number

pith:4RK236G6

pith:2012:4RK236G667RA62TPL35HS7HWI5

not attested not anchored not stored refs pending

Relative D-groups and differential Galois theory in several derivations

Omar Leon Sanchez

arxiv:1212.0102 v2 · 2012-12-01 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4RK236G667RA62TPL35HS7HWI5}

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	2026-05-18T03:13:23.618404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e455adf8def7e20f6a6f5efa797cf6474e91464b07e3cc96d058ad4b7956084b

Aliases

arxiv: 1212.0102 · arxiv_version: 1212.0102v2 · doi: 10.48550/arxiv.1212.0102 · pith_short_12: 4RK236G667RA · pith_short_16: 4RK236G667RA62TP · pith_short_8: 4RK236G6

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/4RK236G667RA62TPL35HS7HWI5 \
  | 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: e455adf8def7e20f6a6f5efa797cf6474e91464b07e3cc96d058ad4b7956084b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3527904eb04ef413349bc78748cff26b79657be7d10e64e7202ac42d71ec07b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-12-01T11:49:08Z",
    "title_canon_sha256": "fba73eb16c3b5ec86ef965e95247e0cb7fc4343f5fa87026c2e2ef420159c6d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0102",
    "kind": "arxiv",
    "version": 2
  }
}