Pith Number

pith:LPRS73ZR

pith:2017:LPRS73ZRBP3TIDQTBPCM2LJWWT

not attested not anchored not stored refs pending

A finitely presented infinite simple group of homeomorphisms of the circle

Yash Lodha

arxiv:1710.06220 v2 · 2017-10-17 · 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{LPRS73ZRBP3TIDQTBPCM2LJWWT}

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	2026-05-17T23:41:47.085258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5be32fef310bf7340e130bc4cd2d36b4f1ba80a5c922aa2fbc59a08cf50b95b6

Aliases

arxiv: 1710.06220 · arxiv_version: 1710.06220v2 · doi: 10.48550/arxiv.1710.06220 · pith_short_12: LPRS73ZRBP3T · pith_short_16: LPRS73ZRBP3TIDQT · pith_short_8: LPRS73ZR

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/LPRS73ZRBP3TIDQTBPCM2LJWWT \
  | 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: 5be32fef310bf7340e130bc4cd2d36b4f1ba80a5c922aa2fbc59a08cf50b95b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2880bfd536590d9ee6dc8a188230da7a28d445ce91d887e9ca790db20801663f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-10-17T11:39:47Z",
    "title_canon_sha256": "ee2d8cdd8110d6827e6944b4d2fba81c518e12d5709a4ba71c19b8b39d9a4d41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06220",
    "kind": "arxiv",
    "version": 2
  }
}