Pith Number

pith:DDJYEYP7

pith:2017:DDJYEYP7RJ73CT3WUADBWOGUVH

not attested not anchored not stored refs pending

Taut foliations in branched cyclic covers and left-orderable groups

Steven Boyer, Ying Hu

arxiv:1711.04578 v3 · 2017-11-13 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DDJYEYP7RJ73CT3WUADBWOGUVH}

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	2026-05-17T23:53:01.351565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18d38261ff8a7fb14f76a0061b38d4a9c8da20e7de0fe81012279dd680f24493

Aliases

arxiv: 1711.04578 · arxiv_version: 1711.04578v3 · doi: 10.48550/arxiv.1711.04578 · pith_short_12: DDJYEYP7RJ73 · pith_short_16: DDJYEYP7RJ73CT3W · pith_short_8: DDJYEYP7

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/DDJYEYP7RJ73CT3WUADBWOGUVH \
  | 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: 18d38261ff8a7fb14f76a0061b38d4a9c8da20e7de0fe81012279dd680f24493

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b638c1e7c4a33af987f49a38e79903e1832a733525b5b53e3def721fb88f2f70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-11-13T13:39:09Z",
    "title_canon_sha256": "c421d8930f6d6f8e1da032a7e9d0b2763d108ff841a495d354e4c649d224d237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04578",
    "kind": "arxiv",
    "version": 3
  }
}