Pith Number

pith:UFMJ6MES

pith:2026:UFMJ6MES4G2XJ4EGVZX42FS3MP

not attested not anchored not stored refs pending

Geometric properties of the golden ration Thompson's group

Denys Svetelik

arxiv:2605.17814 v1 · 2026-05-18 · math.GR · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UFMJ6MES4G2XJ4EGVZX42FS3MP}

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	2026-05-20T00:04:59.707051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1589f3092e1b574f086ae6fcd165b63d20fcf27b1d910c7983bbb7a60afafe6

Aliases

arxiv: 2605.17814 · arxiv_version: 2605.17814v1 · doi: 10.48550/arxiv.2605.17814 · pith_short_12: UFMJ6MES4G2X · pith_short_16: UFMJ6MES4G2XJ4EG · pith_short_8: UFMJ6MES

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/UFMJ6MES4G2XJ4EGVZX42FS3MP \
  | 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: a1589f3092e1b574f086ae6fcd165b63d20fcf27b1d910c7983bbb7a60afafe6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d0c55417631ae553fcc5143c940d870091e0a9ebc77ee3d4c7c0cd432d644bd",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-05-18T03:41:03Z",
    "title_canon_sha256": "7d4276c34ea6f33151370340d27d5e8733234ff5f5d37bd096d12dd532994d3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17814",
    "kind": "arxiv",
    "version": 1
  }
}