Pith Number

pith:ASOK5PMX

pith:2019:ASOK5PMX445LALHGTZXYBUJ564

not attested not anchored not stored refs pending

Formulating basic notions of finite group theory via the lifting property

Misha Gavrilovich

arxiv:1906.01636 v1 · 2019-06-05 · math.GR · 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{ASOK5PMX445LALHGTZXYBUJ564}

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	2026-05-17T23:44:06.612657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

049caebd97e73ab02ce69e6f80d13df72b78a11fd4a4dc01ea8f965416adb4c8

Aliases

arxiv: 1906.01636 · arxiv_version: 1906.01636v1 · doi: 10.48550/arxiv.1906.01636 · pith_short_12: ASOK5PMX445L · pith_short_16: ASOK5PMX445LALHG · pith_short_8: ASOK5PMX

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/ASOK5PMX445LALHGTZXYBUJ564 \
  | 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: 049caebd97e73ab02ce69e6f80d13df72b78a11fd4a4dc01ea8f965416adb4c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "536cccd5581aab50026af56c7fab491a4afce0470a7f85b6ec3c0f96a3dc2e93",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-06-05T13:41:19Z",
    "title_canon_sha256": "17477eb75c8ded3aad215fe6ddd5e1825bdad5dddcb050652e0ee761fdee4848"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01636",
    "kind": "arxiv",
    "version": 1
  }
}