Pith Number

pith:MWGBVW2O

pith:2012:MWGBVW2OEVWRQRVPQ7KONNHTLG

not attested not anchored not stored refs pending

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

Donghi Lee, Makoto Sakuma

arxiv:1205.4631 v3 · 2012-05-21 · 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{MWGBVW2OEVWRQRVPQ7KONNHTLG}

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	2026-05-18T03:42:13.200722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

658c1adb4e256d1846af87d4e6b4f3598859d0f11484f99b04a9d73b2e0378b1

Aliases

arxiv: 1205.4631 · arxiv_version: 1205.4631v3 · doi: 10.48550/arxiv.1205.4631 · pith_short_12: MWGBVW2OEVWR · pith_short_16: MWGBVW2OEVWRQRVP · pith_short_8: MWGBVW2O

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/MWGBVW2OEVWRQRVPQ7KONNHTLG \
  | 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: 658c1adb4e256d1846af87d4e6b4f3598859d0f11484f99b04a9d73b2e0378b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6344996ac339e58887df0180541254d4a9df16d97fdee6e6e3fb9955ed0b14dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-21T15:11:38Z",
    "title_canon_sha256": "28b44aeb8eb945a8861ba73f42868dafbb7f1c4ac0d9e60428a24ea53dc983a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4631",
    "kind": "arxiv",
    "version": 3
  }
}