Pith Number

pith:IUPQXOIV

pith:2021:IUPQXOIVT7UVK4LB5I3DFENDOP

not attested not anchored not stored refs pending

Distance and the Goeritz groups of bridge decompositions

Daiki Iguchi, Yuya Koda

arxiv:2105.00631 v2 · 2021-05-03 · 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{IUPQXOIVT7UVK4LB5I3DFENDOP}

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	2026-07-05T03:49:10.537309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

451f0bb9159fe9557161ea363291a373e6ab6714740a261959416e7998f0e372

Aliases

arxiv: 2105.00631 · arxiv_version: 2105.00631v2 · doi: 10.48550/arxiv.2105.00631 · pith_short_12: IUPQXOIVT7UV · pith_short_16: IUPQXOIVT7UVK4LB · pith_short_8: IUPQXOIV

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/IUPQXOIVT7UVK4LB5I3DFENDOP \
  | 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: 451f0bb9159fe9557161ea363291a373e6ab6714740a261959416e7998f0e372

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ce917f80b40653f70a20ade3b171e76a8956e11ca160179bf246fcdef0fb76d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-05-03T05:35:10Z",
    "title_canon_sha256": "781c3000931983e76970e115de8ed03198bae9156e86fa121329e2866fa29b10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.00631",
    "kind": "arxiv",
    "version": 2
  }
}