Pith Number

pith:LTMUD6HX

pith:2018:LTMUD6HXCHBJCG77PJGOXT3JZ3

not attested not anchored not stored refs pending

Left-orderability for surgeries on twisted torus knots

Anh T. Tran

arxiv:1809.01250 v1 · 2018-09-04 · 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{LTMUD6HXCHBJCG77PJGOXT3JZ3}

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	2026-05-18T00:06:28.216032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cd941f8f711c2911bff7a4cebcf69cede3b45b36ac4feef5d657766067f422b

Aliases

arxiv: 1809.01250 · arxiv_version: 1809.01250v1 · doi: 10.48550/arxiv.1809.01250 · pith_short_12: LTMUD6HXCHBJ · pith_short_16: LTMUD6HXCHBJCG77 · pith_short_8: LTMUD6HX

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/LTMUD6HXCHBJCG77PJGOXT3JZ3 \
  | 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: 5cd941f8f711c2911bff7a4cebcf69cede3b45b36ac4feef5d657766067f422b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74c73fa0abefd252df825d1b56bf1073424af72f0f0afe5f037b6093e98c4c72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-09-04T21:38:49Z",
    "title_canon_sha256": "f88fba56bb15cd5f616a77f0888606e36e28a835aef8181aea4a7da937baf89e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01250",
    "kind": "arxiv",
    "version": 1
  }
}