Pith Number

pith:32YVMEW7

pith:1997:32YVMEW77BA4XN3A3QJSXIBB6H

not attested not anchored not stored refs pending

The ubiquity of Thompson's group F in groups of piecewise linear homeomorphisms of the unit interval

Matthew G. Brin

arxiv:math/9705205 v1 · 1997-05-04 · 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{32YVMEW77BA4XN3A3QJSXIBB6H}

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	2026-05-18T03:14:17.966472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deb15612dff841cbb760dc132ba021f1d589d39d537a79f4ac48fb19f66edaed

Aliases

arxiv: math/9705205 · arxiv_version: math/9705205v1 · doi: 10.48550/arxiv.math/9705205 · pith_short_12: 32YVMEW77BA4 · pith_short_16: 32YVMEW77BA4XN3A · pith_short_8: 32YVMEW7

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/32YVMEW77BA4XN3A3QJSXIBB6H \
  | 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: deb15612dff841cbb760dc132ba021f1d589d39d537a79f4ac48fb19f66edaed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "566300ec7e718cbbf26cac14981202fcae0b24509781df78d1f6cea893df97aa",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "1997-05-04T17:06:00Z",
    "title_canon_sha256": "1cc45081fdc5494cde9b195f65acd418ac6d5d843be8c648cad53ede4aa27dc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9705205",
    "kind": "arxiv",
    "version": 1
  }
}