Pith Number

pith:LNCPD4G2

pith:2019:LNCPD4G2C2JZYVB545JV3SPC6U

not attested not anchored not stored refs pending

Null-homologous twisting and the algebraic genus

Duncan McCoy

arxiv:1908.04043 v1 · 2019-08-12 · 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{LNCPD4G2C2JZYVB545JV3SPC6U}

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.

Cited by

1 paper in Pith

Untwisting 3-strand torus knots

Receipt and verification

First computed	2026-07-04T23:53:20.267270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b44f1f0da16939c543de7535dc9e2f51c1b91c50f3e772d68dc79f00595f6a1

Aliases

arxiv: 1908.04043 · arxiv_version: 1908.04043v1 · doi: 10.48550/arxiv.1908.04043 · pith_short_12: LNCPD4G2C2JZ · pith_short_16: LNCPD4G2C2JZYVB5 · pith_short_8: LNCPD4G2

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/LNCPD4G2C2JZYVB545JV3SPC6U \
  | 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: 5b44f1f0da16939c543de7535dc9e2f51c1b91c50f3e772d68dc79f00595f6a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc1f8efbe714b4cf92b47d792a842acf8dd80df5d59fbc9f0ee49514ec10cd20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-08-12T08:06:50Z",
    "title_canon_sha256": "d8647ad6cd380358ee42076f462e7916aab97b41b4da01b3b3845f8f343787b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04043",
    "kind": "arxiv",
    "version": 1
  }
}