Pith Number

pith:PIQDSSX4

pith:2026:PIQDSSX4TDEZPNGIZ2TXQORQCC

not attested not anchored not stored refs pending

Cofinal types of topological groups

Dekui Peng, Xuan Gong

arxiv:2605.25445 v1 · 2026-05-25 · math.GN · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PIQDSSX4TDEZPNGIZ2TXQORQCC}

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	2026-05-26T02:04:35.670515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a20394afc98c997b4c8cea7783a3010a3348908e3c915ad8a031be2749d90b9

Aliases

arxiv: 2605.25445 · arxiv_version: 2605.25445v1 · doi: 10.48550/arxiv.2605.25445 · pith_short_12: PIQDSSX4TDEZ · pith_short_16: PIQDSSX4TDEZPNGI · pith_short_8: PIQDSSX4

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/PIQDSSX4TDEZPNGIZ2TXQORQCC \
  | 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: 7a20394afc98c997b4c8cea7783a3010a3348908e3c915ad8a031be2749d90b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73eb96f3f616aad82fb52332271041e6cd4878ee7304b766e366dba5362eeeb8",
    "cross_cats_sorted": [
      "math.GR",
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2026-05-25T05:49:59Z",
    "title_canon_sha256": "9daa40d91f16b4427f2aae9b07c1e95e485febd5ec31fedc0f20b19db68dc458"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25445",
    "kind": "arxiv",
    "version": 1
  }
}