Pith Number

pith:YLHUCVPE

pith:2016:YLHUCVPEYZD6DXJR2MZJ6DDAN2

not attested not anchored not stored refs pending

Rotation Numbers of Elements in Thompson's Group ${\bf T}$

Jan-Li Lin, Jeffrey Diller

arxiv:1609.00771 v2 · 2016-09-03 · math.DS · 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{YLHUCVPEYZD6DXJR2MZJ6DDAN2}

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	2026-05-18T01:03:42.503850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2cf4155e4c647e1dd31d3329f0c606ea22b542ad93de7e2d4196fbf76685e82

Aliases

arxiv: 1609.00771 · arxiv_version: 1609.00771v2 · doi: 10.48550/arxiv.1609.00771 · pith_short_12: YLHUCVPEYZD6 · pith_short_16: YLHUCVPEYZD6DXJR · pith_short_8: YLHUCVPE

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/YLHUCVPEYZD6DXJR2MZJ6DDAN2 \
  | 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: c2cf4155e4c647e1dd31d3329f0c606ea22b542ad93de7e2d4196fbf76685e82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fba2131fde7bd2c53c4530e0f934a03d5ff4d5d36df6f4c1b7cff5c999991f5",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-09-03T00:13:18Z",
    "title_canon_sha256": "b7709e37dcf2f45f3a72dd08f25d3228d4ff0c2d7126158f5548e126966aab7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00771",
    "kind": "arxiv",
    "version": 2
  }
}