Pith Number

pith:CZT5SEVA

pith:2012:CZT5SEVADOKPEG7VTHOP5VWR7M

not attested not anchored not stored refs pending

Simple loops on 2-bridge spheres in Heckoid orbifolds for 2-bridge links

Donghi Lee, Makoto Sakuma

arxiv:1206.4258 v1 · 2012-06-19 · math.GT · 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{CZT5SEVADOKPEG7VTHOP5VWR7M}

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	2026-05-18T03:53:07.590676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1667d912a01b94f21bf599dcfed6d1fb3519f4b621335f54447db0c632c230bd

Aliases

arxiv: 1206.4258 · arxiv_version: 1206.4258v1 · doi: 10.48550/arxiv.1206.4258 · pith_short_12: CZT5SEVADOKP · pith_short_16: CZT5SEVADOKPEG7V · pith_short_8: CZT5SEVA

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/CZT5SEVADOKPEG7VTHOP5VWR7M \
  | 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: 1667d912a01b94f21bf599dcfed6d1fb3519f4b621335f54447db0c632c230bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96bd1465ed1034364ce9e2fd7fc1cc40d966acd12b7d423d282dac18f3d93e46",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-06-19T16:35:39Z",
    "title_canon_sha256": "5b8a417acd74562ff0c4cb1572be9074532f0c765ed2168d02d080d64c3da001"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4258",
    "kind": "arxiv",
    "version": 1
  }
}