Pith Number

pith:VS4KQGUP

pith:2019:VS4KQGUPZWVABGMR2ZUDOMP6LC

not attested not anchored not stored refs pending

A note on the topological slice genus of satellite knots

Allison N. Miller, Juanita Pinzon-Caicedo, Peter Feller

arxiv:1908.03760 v1 · 2019-08-10 · 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{VS4KQGUPZWVABGMR2ZUDOMP6LC}

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

Gaps between consecutive untwisting numbers

Receipt and verification

First computed	2026-07-05T04:47:05.858745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acb8a81a8fcdaa009991d6683731fe5892a27a7d37a66c132de387ddfd0f8031

Aliases

arxiv: 1908.03760 · arxiv_version: 1908.03760v1 · doi: 10.48550/arxiv.1908.03760 · pith_short_12: VS4KQGUPZWVA · pith_short_16: VS4KQGUPZWVABGMR · pith_short_8: VS4KQGUP

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/VS4KQGUPZWVABGMR2ZUDOMP6LC \
  | 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: acb8a81a8fcdaa009991d6683731fe5892a27a7d37a66c132de387ddfd0f8031

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be90c128b77819547fc12bbf40186cd70bb8c433f123fbbe04b5e1610f81e206",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-08-10T14:16:51Z",
    "title_canon_sha256": "376263168480899b57b5e91ba60e0cbbb515e19913abc18d873d4a80fb4c4345"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03760",
    "kind": "arxiv",
    "version": 1
  }
}