Pith Number

pith:3ECM5TAP

pith:2013:3ECM5TAPN33PYU2TQCPFEZT5CE

not attested not anchored not stored refs pending

A finitely presented group of piecewise projective homeomorphisms

Justin Tatch Moore, Yash Lodha

arxiv:1308.4250 v3 · 2013-08-20 · 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{3ECM5TAPN33PYU2TQCPFEZT5CE}

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	2026-05-18T02:46:04.630971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d904cecc0f6ef6fc5353809e52667d11371cdefe8d1300e888815afb5f7e9307

Aliases

arxiv: 1308.4250 · arxiv_version: 1308.4250v3 · doi: 10.48550/arxiv.1308.4250 · pith_short_12: 3ECM5TAPN33P · pith_short_16: 3ECM5TAPN33PYU2T · pith_short_8: 3ECM5TAP

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/3ECM5TAPN33PYU2TQCPFEZT5CE \
  | 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: d904cecc0f6ef6fc5353809e52667d11371cdefe8d1300e888815afb5f7e9307

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d14451f1b5460caebfd4c8d653abe2009ee66a6263e4f0d76d976b9716446207",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-08-20T08:21:46Z",
    "title_canon_sha256": "01971e9f7e19cf15e2c037ea01ba0dcc849c43344ac655a8351d27e7e27e545e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4250",
    "kind": "arxiv",
    "version": 3
  }
}