Pith Number

pith:7FOXJJWT

pith:2016:7FOXJJWTE2TCMRBQDMB6JXV3WT

not attested not anchored not stored refs pending

A Synthetic Version of Lie's Second Theorem

Matthew Burke

arxiv:1605.06378 v2 · 2016-05-20 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7FOXJJWTE2TCMRBQDMB6JXV3WT}

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	2026-05-18T01:13:46.778908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f95d74a6d326a62644301b03e4debbb4ecb06b1ad9a169cddf4baaa5a1e071f3

Aliases

arxiv: 1605.06378 · arxiv_version: 1605.06378v2 · doi: 10.48550/arxiv.1605.06378 · pith_short_12: 7FOXJJWTE2TC · pith_short_16: 7FOXJJWTE2TCMRBQ · pith_short_8: 7FOXJJWT

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/7FOXJJWTE2TCMRBQDMB6JXV3WT \
  | 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: f95d74a6d326a62644301b03e4debbb4ecb06b1ad9a169cddf4baaa5a1e071f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67d84298180ec708525981f3e26e8e46ffcdd6f65e3f9075d75814fefdf8123c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-05-20T14:37:24Z",
    "title_canon_sha256": "8dfe0ade53aaab74a18484f01f21f75de357009a45b8973f34d192a00a44849d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06378",
    "kind": "arxiv",
    "version": 2
  }
}