Pith Number

pith:KZDGLH3O

pith:2026:KZDGLH3OLVANYODF4LZ3AWFS6S

not attested not anchored not stored refs pending

Satellites and telescopes: a concordance Formula for bordered Floer homology

Gary Guth, Sungkyung Kang

arxiv:2606.16120 v1 · 2026-06-15 · 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{KZDGLH3OLVANYODF4LZ3AWFS6S}

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	2026-07-16T01:22:45.170270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5646659f6e5d40dc3865e2f3b058b2f4a549abe419f87d246e2cc700c6d30c85

Aliases

arxiv: 2606.16120 · arxiv_version: 2606.16120v1 · doi: 10.48550/arxiv.2606.16120 · pith_short_12: KZDGLH3OLVAN · pith_short_16: KZDGLH3OLVANYODF · pith_short_8: KZDGLH3O

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/KZDGLH3OLVANYODF4LZ3AWFS6S \
  | 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: 5646659f6e5d40dc3865e2f3b058b2f4a549abe419f87d246e2cc700c6d30c85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79e9178ac134f663e13f7b754a5cf165ba418caaf3270345b7ce2f0ee8ed9fab",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-06-15T02:27:21Z",
    "title_canon_sha256": "0ca735cbc36a9f990bad194334571c6cf7e2b9359cd02e6da977581fa488ebb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.16120",
    "kind": "arxiv",
    "version": 1
  }
}