Pith Number

pith:WDUHSEPU

pith:2018:WDUHSEPUAWJLAWMCIQMANXQWEX

not attested not anchored not stored refs pending

Lie invariant Frobenius lifts on linear algebraic groups

Alexandru Buium

arxiv:1808.01289 v1 · 2018-08-03 · 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{WDUHSEPUAWJLAWMCIQMANXQWEX}

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	2026-05-18T00:08:53.458642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0e87911f40592b05982441806de1625e42d2cd4ad57c4cdd969fd76d4ac682d

Aliases

arxiv: 1808.01289 · arxiv_version: 1808.01289v1 · doi: 10.48550/arxiv.1808.01289 · pith_short_12: WDUHSEPUAWJL · pith_short_16: WDUHSEPUAWJLAWMC · pith_short_8: WDUHSEPU

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/WDUHSEPUAWJLAWMCIQMANXQWEX \
  | 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: b0e87911f40592b05982441806de1625e42d2cd4ad57c4cdd969fd76d4ac682d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73491a88c913f05a6ec0d340091938e3d932bac80ff1443ca77e34dade6f21b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-08-03T18:00:30Z",
    "title_canon_sha256": "b524b4529b1a821f86a637a92507a289da04009eb962519a3a47d7d85e549494"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01289",
    "kind": "arxiv",
    "version": 1
  }
}