Pith Number

pith:LYSEXAWY

pith:2012:LYSEXAWYWEVB765P3SMNUPOROV

not attested not anchored not stored refs pending

Commuting-Liftable Subgroups of Galois Groups II

Adam Topaz

arxiv:1208.0583 v5 · 2012-08-02 · 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{LYSEXAWYWEVB765P3SMNUPOROV}

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	2026-05-18T02:23:35.788330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e244b82d8b12a1ffbafdc98da3dd175654feb0205d5059a26e8afd71d8fcb01

Aliases

arxiv: 1208.0583 · arxiv_version: 1208.0583v5 · doi: 10.48550/arxiv.1208.0583 · pith_short_12: LYSEXAWYWEVB · pith_short_16: LYSEXAWYWEVB765P · pith_short_8: LYSEXAWY

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/LYSEXAWYWEVB765P3SMNUPOROV \
  | 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: 5e244b82d8b12a1ffbafdc98da3dd175654feb0205d5059a26e8afd71d8fcb01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9bd22ea3030ab05c9d50e292893be8b4265de66374e5afe272d5ae01c6a3e44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-02T19:43:52Z",
    "title_canon_sha256": "8695cbc4767221c7c69d42f0bc178d69354cdd0c492ac5343914ff150b63646c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0583",
    "kind": "arxiv",
    "version": 5
  }
}