Pith Number

pith:MGHOEVB6

pith:2015:MGHOEVB6LGKLIQZXUDMG6QBWAJ

not attested not anchored not stored refs pending

On the topological 4-genus of torus knots

Livio Liechti, Lukas Lewark, Peter Feller, Sebastian Baader

arxiv:1509.07634 v2 · 2015-09-25 · 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{MGHOEVB6LGKLIQZXUDMG6QBWAJ}

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	2026-05-18T00:13:15.845423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

618ee2543e5994b44337a0d86f403602447775b1c8dc1040fac7980d9dd148e0

Aliases

arxiv: 1509.07634 · arxiv_version: 1509.07634v2 · doi: 10.48550/arxiv.1509.07634 · pith_short_12: MGHOEVB6LGKL · pith_short_16: MGHOEVB6LGKLIQZX · pith_short_8: MGHOEVB6

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/MGHOEVB6LGKLIQZXUDMG6QBWAJ \
  | 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: 618ee2543e5994b44337a0d86f403602447775b1c8dc1040fac7980d9dd148e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3e97409361f52fc35b4bcf08662bf4ecccf4ac53145463322ed769970e0d493",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-25T08:54:40Z",
    "title_canon_sha256": "5b9f2e992f0d84631eb99f6da5eac363d71f67b0b8e928bc5ca03b592f3eeab0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07634",
    "kind": "arxiv",
    "version": 2
  }
}