Pith Number

pith:BUKQ7EVI

pith:2025:BUKQ7EVIZ6CNVGUXUTRN7L3EBQ

not attested not anchored not stored refs pending

Quasi-retracts of groups

Renxing Wan

arxiv:2501.02238 v3 · 2025-01-04 · 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{BUKQ7EVIZ6CNVGUXUTRN7L3EBQ}

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	2026-07-05T11:56:16.940015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d150f92a8cf84da9a97a4e2dfaf640c24e8e8799e4a99517e666bf668361bf7

Aliases

arxiv: 2501.02238 · arxiv_version: 2501.02238v3 · doi: 10.48550/arxiv.2501.02238 · pith_short_12: BUKQ7EVIZ6CN · pith_short_16: BUKQ7EVIZ6CNVGUX · pith_short_8: BUKQ7EVI

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/BUKQ7EVIZ6CNVGUXUTRN7L3EBQ \
  | 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: 0d150f92a8cf84da9a97a4e2dfaf640c24e8e8799e4a99517e666bf668361bf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "038f64cf875065323c14a7f22787b06bb278aa15800f1afc828f77098b0a2394",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-01-04T08:51:01Z",
    "title_canon_sha256": "61b903312942fc02d1da856fab2addbad123af20ed637a761d142775d6586344"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.02238",
    "kind": "arxiv",
    "version": 3
  }
}