Pith Number

pith:GU6CDXEV

pith:2026:GU6CDXEVDXMCLN2E7YMY6FEUMY

not attested not anchored not stored refs pending

Finite factorization is detected by undermonoids

Yaoran Yang, Yutong Zhang

arxiv:2605.20974 v1 · 2026-05-20 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GU6CDXEVDXMCLN2E7YMY6FEUMY}

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	2026-05-21T01:05:30.643344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

353c21dc951dd825b744fe198f1494663a8adbe6bb9caa1683b42a739f25b093

Aliases

arxiv: 2605.20974 · arxiv_version: 2605.20974v1 · doi: 10.48550/arxiv.2605.20974 · pith_short_12: GU6CDXEVDXMC · pith_short_16: GU6CDXEVDXMCLN2E · pith_short_8: GU6CDXEV

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/GU6CDXEVDXMCLN2E7YMY6FEUMY \
  | 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: 353c21dc951dd825b744fe198f1494663a8adbe6bb9caa1683b42a739f25b093

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b14e1ea081588d09b5a7a0d7bc0b6ab3f46c6dcf2683a4b595ff03584ab97dc2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-05-20T10:00:14Z",
    "title_canon_sha256": "1cede16124a2efdfe9acf3a7aaff20babe9ecde461d9e348766bae340f7495fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20974",
    "kind": "arxiv",
    "version": 1
  }
}