Pith Number

pith:A2EX6T3A

pith:2025:A2EX6T3AFP6JMHHTGS42URL2Q5

not attested not anchored not stored refs pending

On the structure of groups defined by Kim and Manturov

Carl-Fredrik Nyberg-Brodda, Kokoro Tanaka, Takuya Sakasai, Yuuki Tadokoro

arxiv:2506.08050 v2 · 2025-06-09 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A2EX6T3AFP6JMHHTGS42URL2Q5}

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	2026-07-05T11:45:58.732011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06897f4f602bfc961cf334b9aa457a874e1740cc69565e83c5a428fef524ed41

Aliases

arxiv: 2506.08050 · arxiv_version: 2506.08050v2 · doi: 10.48550/arxiv.2506.08050 · pith_short_12: A2EX6T3AFP6J · pith_short_16: A2EX6T3AFP6JMHHT · pith_short_8: A2EX6T3A

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/A2EX6T3AFP6JMHHTGS42URL2Q5 \
  | 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: 06897f4f602bfc961cf334b9aa457a874e1740cc69565e83c5a428fef524ed41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93125a12f7a6832d1b29717c7d061dd50219de167f79a4803ae4989686bc6473",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-06-09T00:46:22Z",
    "title_canon_sha256": "efbe5a0801d4cc38fb2f82e73df25c24892a5245837d483c783004621bcb09af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08050",
    "kind": "arxiv",
    "version": 2
  }
}