Pith Number

pith:2UE6EC3Y

pith:2014:2UE6EC3YL6AQOK5VXZ2WQCHSPX

not attested not anchored not stored refs pending

Arc complexes, sphere complexes and Goeritz groups

Arim Seo, Sangbum Cho, Yuya Koda

arxiv:1403.7832 v2 · 2014-03-30 · 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{2UE6EC3YL6AQOK5VXZ2WQCHSPX}

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	2026-05-18T02:25:49.192776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d509e20b785f81072bb5be756808f27ddec3cc7ce8b2d2b872b5a116fbe9f289

Aliases

arxiv: 1403.7832 · arxiv_version: 1403.7832v2 · doi: 10.48550/arxiv.1403.7832 · pith_short_12: 2UE6EC3YL6AQ · pith_short_16: 2UE6EC3YL6AQOK5V · pith_short_8: 2UE6EC3Y

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/2UE6EC3YL6AQOK5VXZ2WQCHSPX \
  | 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: d509e20b785f81072bb5be756808f27ddec3cc7ce8b2d2b872b5a116fbe9f289

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9b10c92a99453ce0514ea20cc92a1ddeb1f65b859e119964bce7a9ef141e115",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-03-30T23:20:51Z",
    "title_canon_sha256": "65aa5644b1e87c1d1fd3b956333d6bd59e70d2899f2439304b0934b929c32bfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7832",
    "kind": "arxiv",
    "version": 2
  }
}