Pith Number

pith:2LS4MHHI

pith:2020:2LS4MHHILUEGEGPVFCPM4PQHGQ

not attested not anchored not stored refs pending

A relative version of Rochlin's theorem

Michael R. Klug

arxiv:2011.12418 v3 · 2020-11-24 · 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{2LS4MHHILUEGEGPVFCPM4PQHGQ}

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

Simply slicing knots

Receipt and verification

First computed	2026-07-05T03:16:50.552547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2e5c61ce85d086219f5289ece3e073403aca9dfa62b2765f17137a1cfd34a31

Aliases

arxiv: 2011.12418 · arxiv_version: 2011.12418v3 · doi: 10.48550/arxiv.2011.12418 · pith_short_12: 2LS4MHHILUEG · pith_short_16: 2LS4MHHILUEGEGPV · pith_short_8: 2LS4MHHI

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/2LS4MHHILUEGEGPVFCPM4PQHGQ \
  | 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: d2e5c61ce85d086219f5289ece3e073403aca9dfa62b2765f17137a1cfd34a31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbd5f234872593ec315be5ae8be8faa2ee3713a875a818d357c0bd60536952ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2020-11-24T22:02:15Z",
    "title_canon_sha256": "a33c05424777e6d7d5a5f97bc1731b62dc85565e3e3e5eeb6e1e864bec3c8018"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.12418",
    "kind": "arxiv",
    "version": 3
  }
}