Pith Number

pith:WOHOVNQZ

pith:2015:WOHOVNQZWPTGS2KG3BWOFN3V5B

not attested not anchored not stored refs pending

Positive braid knots of maximal topological 4-genus

Livio Liechti

arxiv:1511.03883 v2 · 2015-11-12 · 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{WOHOVNQZWPTGS2KG3BWOFN3V5B}

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	2026-05-18T00:29:15.757693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b38eeab619b3e6696946d86ce2b775e86cf1028ac6f5b95963bf7fa4586c2b55

Aliases

arxiv: 1511.03883 · arxiv_version: 1511.03883v2 · doi: 10.48550/arxiv.1511.03883 · pith_short_12: WOHOVNQZWPTG · pith_short_16: WOHOVNQZWPTGS2KG · pith_short_8: WOHOVNQZ

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/WOHOVNQZWPTGS2KG3BWOFN3V5B \
  | 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: b38eeab619b3e6696946d86ce2b775e86cf1028ac6f5b95963bf7fa4586c2b55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d67d2cebc341df470668ff8893656103d344d4cbf163a5fc8c1fdeef2fd36cb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-11-12T13:18:24Z",
    "title_canon_sha256": "b899c7ec233badf144ff90780ba750e5e928a6b8855cc8db7ce6dea66119471d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03883",
    "kind": "arxiv",
    "version": 2
  }
}