Pith Number

pith:3A53SVTI

pith:2013:3A53SVTIGYLC4UWLYHADCU3AJZ

not attested not anchored not stored refs pending

On left-orderable fundamental groups and Dehn surgeries on twist knots

Anh T. Tran

arxiv:1301.0665 v2 · 2013-01-04 · 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{3A53SVTIGYLC4UWLYHADCU3AJZ}

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	2026-05-18T03:31:06.308615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d83bb9566836162e52cbc1c03153604e405416a1dc7ce6a2308a250ad7f01444

Aliases

arxiv: 1301.0665 · arxiv_version: 1301.0665v2 · doi: 10.48550/arxiv.1301.0665 · pith_short_12: 3A53SVTIGYLC · pith_short_16: 3A53SVTIGYLC4UWL · pith_short_8: 3A53SVTI

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/3A53SVTIGYLC4UWLYHADCU3AJZ \
  | 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: d83bb9566836162e52cbc1c03153604e405416a1dc7ce6a2308a250ad7f01444

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd3aadc0687c2fa05961a5bfc3e7e9e13d8e202cbbba2c947a1ac4ebde0607d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-01-04T03:38:21Z",
    "title_canon_sha256": "d7cc56e3878e730470b33f7872407ea4959aa2cc2efda66767f2bf889c79088b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0665",
    "kind": "arxiv",
    "version": 2
  }
}