Pith Number

pith:YMFTH37P

pith:2012:YMFTH37PEMWCAFOQLC2COFS3P7

not attested not anchored not stored refs pending

Epimorphisms from 2-bridge link groups onto Heckoid groups (II)

Donghi Lee, Makoto Sakuma

arxiv:1206.0429 v3 · 2012-06-03 · 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{YMFTH37PEMWCAFOQLC2COFS3P7}

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	2026-05-18T03:42:13.170390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c30b33efef232c2015d058b427165b7fd9ca31fa760e9bcc6f0bb6776907d867

Aliases

arxiv: 1206.0429 · arxiv_version: 1206.0429v3 · doi: 10.48550/arxiv.1206.0429 · pith_short_12: YMFTH37PEMWC · pith_short_16: YMFTH37PEMWCAFOQ · pith_short_8: YMFTH37P

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/YMFTH37PEMWCAFOQLC2COFS3P7 \
  | 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: c30b33efef232c2015d058b427165b7fd9ca31fa760e9bcc6f0bb6776907d867

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16e0af78d73feec4561864251b6aa1bfe749848eb15600df2c5acee85b5624ca",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-06-03T10:55:30Z",
    "title_canon_sha256": "71cc8348613508ac9a0e8d5aa4ddbeee72010fdec8ea106342e00f5ebb1b5126"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0429",
    "kind": "arxiv",
    "version": 3
  }
}