Pith Number

pith:IL2PBGGM

pith:2015:IL2PBGGMYSSCIXTINES725ABG3

not attested not anchored not stored refs pending

The stable 4-genus of alternating knots

Lukas Lewark, Sebastian Baader

arxiv:1505.03345 v2 · 2015-05-13 · 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{IL2PBGGMYSSCIXTINES725ABG3}

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	2026-05-18T00:03:26.535021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42f4f098ccc4a4245e686925fd740136de771fafca36092d603d12db0fcf8d5a

Aliases

arxiv: 1505.03345 · arxiv_version: 1505.03345v2 · doi: 10.48550/arxiv.1505.03345 · pith_short_12: IL2PBGGMYSSC · pith_short_16: IL2PBGGMYSSCIXTI · pith_short_8: IL2PBGGM

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/IL2PBGGMYSSCIXTINES725ABG3 \
  | 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: 42f4f098ccc4a4245e686925fd740136de771fafca36092d603d12db0fcf8d5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dedb490f6f2a7c17443f04765a5295fe1c896dc7de4954bd55b83a8a4e67e42a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-05-13T12:02:53Z",
    "title_canon_sha256": "31e80c3d02a573fa2f784a05c96619ec469bffe7f404fb42fea7902852ad77d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03345",
    "kind": "arxiv",
    "version": 2
  }
}