Pith Number

pith:AASAXOJJ

pith:2019:AASAXOJJITSSD4KXKOD7GYSAUT

not attested not anchored not stored refs pending

Countably compact groups and sequential order

Alexander Shibakov, Dmitri Shakhmatov

arxiv:1903.08041 v1 · 2019-03-19 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AASAXOJJITSSD4KXKOD7GYSAUT}

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	2026-05-17T23:50:53.101108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00240bb92944e521f1575387f36240a4e7e07e669d3edf7556daa0ffe0d54956

Aliases

arxiv: 1903.08041 · arxiv_version: 1903.08041v1 · doi: 10.48550/arxiv.1903.08041 · pith_short_12: AASAXOJJITSS · pith_short_16: AASAXOJJITSSD4KX · pith_short_8: AASAXOJJ

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/AASAXOJJITSSD4KXKOD7GYSAUT \
  | 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: 00240bb92944e521f1575387f36240a4e7e07e669d3edf7556daa0ffe0d54956

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5cd0e86aa0fc49f45c864397be3e9d6d96b335fd68ff1f87c20d1b73a0c58c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2019-03-19T15:06:07Z",
    "title_canon_sha256": "51442d9f65f4046d08f45ea37d520ff91d8b0a48d8e00ebcf72ef0bee5f1cc4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.08041",
    "kind": "arxiv",
    "version": 1
  }
}