Pith Number

pith:ULF4TA56

pith:2019:ULF4TA567NFMWHOAO76YNXJ633

not attested not anchored not stored refs pending

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

Huaying Wei, Katsuhiko Matsuzaki

arxiv:1908.08798 v1 · 2019-08-22 · 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{ULF4TA567NFMWHOAO76YNXJ633}

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	2026-07-05T03:30:28.718725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2cbc983befb4acb1dc077fd86dd3eded079f118b56ba7ee14359200c0b4f3a9

Aliases

arxiv: 1908.08798 · arxiv_version: 1908.08798v1 · doi: 10.48550/arxiv.1908.08798 · pith_short_12: ULF4TA567NFM · pith_short_16: ULF4TA567NFMWHOA · pith_short_8: ULF4TA56

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/ULF4TA567NFMWHOAO76YNXJ633 \
  | 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: a2cbc983befb4acb1dc077fd86dd3eded079f118b56ba7ee14359200c0b4f3a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0db66b257a27daed25a731bc2bcf55e7044188c4af4c563eb15980d555ca4f21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-08-22T03:31:30Z",
    "title_canon_sha256": "90e20530c0323bc16bce2880986f7e411df0311efb82180944bc5edb1e2b7b60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08798",
    "kind": "arxiv",
    "version": 1
  }
}