Pith Number

pith:IUHQZGWN

pith:2019:IUHQZGWNOB2DTO44FFXRRMITVJ

not attested not anchored not stored refs pending

Precompact groups and convergence

Alexander Shibakov

arxiv:1903.09236 v1 · 2019-03-21 · 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{IUHQZGWNOB2DTO44FFXRRMITVJ}

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	2026-05-17T23:50:40.261183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

450f0c9acd707439bb9c296f18b113aa66a31d26df2225736e3d393346a68a57

Aliases

arxiv: 1903.09236 · arxiv_version: 1903.09236v1 · doi: 10.48550/arxiv.1903.09236 · pith_short_12: IUHQZGWNOB2D · pith_short_16: IUHQZGWNOB2DTO44 · pith_short_8: IUHQZGWN

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/IUHQZGWNOB2DTO44FFXRRMITVJ \
  | 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: 450f0c9acd707439bb9c296f18b113aa66a31d26df2225736e3d393346a68a57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0f355a83739f2a19de31570e9c6afd0344d89d0367b93d85b5488f362146566",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2019-03-21T20:57:28Z",
    "title_canon_sha256": "9e6f7bf6c3a562c87887b60003a5508cb9a76113023cb6a4aad66e84814c47d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.09236",
    "kind": "arxiv",
    "version": 1
  }
}