Pith Number

pith:QY4Z7LFS

pith:2024:QY4Z7LFSAP7DJEA6KN6OFRJCDY

not attested not anchored not stored refs pending

The Goeritz groups of $(1,1)$-decompositions

Yuki Tanaka, Yuya Koda

arxiv:2403.15809 v2 · 2024-03-23 · 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{QY4Z7LFSAP7DJEA6KN6OFRJCDY}

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	2026-07-05T10:05:42.174089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86399facb203fe34901e537ce2c5221e002927108405c54ea16fac112379b56c

Aliases

arxiv: 2403.15809 · arxiv_version: 2403.15809v2 · doi: 10.48550/arxiv.2403.15809 · pith_short_12: QY4Z7LFSAP7D · pith_short_16: QY4Z7LFSAP7DJEA6 · pith_short_8: QY4Z7LFS

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/QY4Z7LFSAP7DJEA6KN6OFRJCDY \
  | 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: 86399facb203fe34901e537ce2c5221e002927108405c54ea16fac112379b56c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afb9cd28feb9b999d7544bbfabd47b7050446fa7eb8ab48797b0ae704fb201ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-03-23T11:38:49Z",
    "title_canon_sha256": "06a19362d56b460a06007ea981da29b9227f376f01c6a5c209a0750c4dff8fc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.15809",
    "kind": "arxiv",
    "version": 2
  }
}