Pith Number

pith:LOGKHEYY

pith:2016:LOGKHEYYZWRYUGGBJ46S4M72QG

not attested not anchored not stored refs pending

Rigidity of groups of circle diffeomorphisms and Teichm\"uller spaces

Katsuhiko Matsuzaki

arxiv:1607.06316 v4 · 2016-07-21 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LOGKHEYYZWRYUGGBJ46S4M72QG}

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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.

Cited by

1 paper in Pith

Teichm\"uller spaces of piecewise symmetric homeomorphisms on the unit circle

Receipt and verification

First computed	2026-07-05T00:50:59.576335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b8ca39318cda38a18c14f3d2e33fa8198dbecadf85616dd5abca94c32c98d98

Aliases

arxiv: 1607.06316 · arxiv_version: 1607.06316v4 · doi: 10.48550/arxiv.1607.06316 · pith_short_12: LOGKHEYYZWRY · pith_short_16: LOGKHEYYZWRYUGGB · pith_short_8: LOGKHEYY

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/LOGKHEYYZWRYUGGBJ46S4M72QG \
  | 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: 5b8ca39318cda38a18c14f3d2e33fa8198dbecadf85616dd5abca94c32c98d98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "568970588fa4aaf9e9e3679513ee78f2a6473b779dd6ba6d6ba009233ca65eb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-07-21T13:36:57Z",
    "title_canon_sha256": "578751c760b705ecea4385beb6fbe2368752c42ef841c19cb7a1e3345bb96d90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06316",
    "kind": "arxiv",
    "version": 4
  }
}