Pith Number

pith:7FJOGEIN

pith:2025:7FJOGEINVB3RK2MLRC6YVYYSS5

not attested not anchored not stored refs pending

$\mathrm{SL}_2(\mathbb R)$-representations and left-orderable surgeries of $(-2, 3, 2n+1)$-pretzel knots

Anh T. Tran

arxiv:2511.10606 v2 · 2025-11-13 · 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{7FJOGEINVB3RK2MLRC6YVYYSS5}

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.

Cited by

1 paper in Pith

Left-orderability in Dehn fillings of pseudo-Anosov mapping tori

Receipt and verification

First computed	2026-05-22T01:03:49.595082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f952e3110da87715698b88bd8ae312976836cae4d65ba52e27106b6a3c2353bf

Aliases

arxiv: 2511.10606 · arxiv_version: 2511.10606v2 · doi: 10.48550/arxiv.2511.10606 · pith_short_12: 7FJOGEINVB3R · pith_short_16: 7FJOGEINVB3RK2ML · pith_short_8: 7FJOGEIN

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/7FJOGEINVB3RK2MLRC6YVYYSS5 \
  | 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: f952e3110da87715698b88bd8ae312976836cae4d65ba52e27106b6a3c2353bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e23339dc5def27d79de5368e9681c970b4add791ce3a25bdff2d5a5dfcb8d09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-11-13T18:42:38Z",
    "title_canon_sha256": "cfeb98de23c18e80dc1399f2b3b1265e08d9dda4beebfa13251050474fba5597"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.10606",
    "kind": "arxiv",
    "version": 2
  }
}