Pith Number

pith:S7YPVAWE

pith:2019:S7YPVAWEOUTXKUYBQ3KIXPVO2V

not attested not anchored not stored refs pending

Automorphism-Liftable Modules

Askar Tuganbaev

arxiv:1907.00947 v1 · 2019-07-01 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7YPVAWEOUTXKUYBQ3KIXPVO2V}

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	2026-05-17T23:41:47.494757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97f0fa82c4752775530186d48bbeaed57a7965394a0cf828f7115b8a3f7fe2d4

Aliases

arxiv: 1907.00947 · arxiv_version: 1907.00947v1 · doi: 10.48550/arxiv.1907.00947 · pith_short_12: S7YPVAWEOUTX · pith_short_16: S7YPVAWEOUTXKUYB · pith_short_8: S7YPVAWE

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/S7YPVAWEOUTXKUYBQ3KIXPVO2V \
  | 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: 97f0fa82c4752775530186d48bbeaed57a7965394a0cf828f7115b8a3f7fe2d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "640979024a063239f50ff500d28088a47ee824fe486a49e6cd3f718aefc98b83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-07-01T17:33:50Z",
    "title_canon_sha256": "cbddaad70e32e477bed84d3d42935f5afb2031d0008bbcfcec280ad4fd8559d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00947",
    "kind": "arxiv",
    "version": 1
  }
}