Pith Number

pith:2I3J6GU5

pith:2023:2I3J6GU5OVM2AH2GHSBDSFLVSY

not attested not anchored not stored refs pending

Doubled Disks and Satellite Surfaces

Gary Guth, Junghwan Park, Kyle Hayden, Sungkyung Kang

arxiv:2310.19713 v1 · 2023-10-30 · 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{2I3J6GU5OVM2AH2GHSBDSFLVSY}

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

Lecture notes on link homologies and knotted surfaces

Receipt and verification

First computed	2026-07-05T07:06:54.202200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2369f1a9d7559a01f463c823915759612687ac95a8e58f4677a493a4b40ffa1

Aliases

arxiv: 2310.19713 · arxiv_version: 2310.19713v1 · doi: 10.48550/arxiv.2310.19713 · pith_short_12: 2I3J6GU5OVM2 · pith_short_16: 2I3J6GU5OVM2AH2G · pith_short_8: 2I3J6GU5

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/2I3J6GU5OVM2AH2GHSBDSFLVSY \
  | 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: d2369f1a9d7559a01f463c823915759612687ac95a8e58f4677a493a4b40ffa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72fb53f3207bfef723c5fb6582787ab1b4c660264902e061216a882e3b2725e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-10-30T16:40:08Z",
    "title_canon_sha256": "7b8293906c972a28334b5c21b9014311ec6b571bb2fb2a5fdf460fa4a96fae89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.19713",
    "kind": "arxiv",
    "version": 1
  }
}