Pith Number

pith:HBYIH2PR

pith:2023:HBYIH2PRCGOZCDGVTWRUDC6JRZ

not attested not anchored not stored refs pending

Satellite knots and immersed Heegaard Floer homology

Jonathan Hanselman, Wenzhao Chen

arxiv:2309.12297 v1 · 2023-09-21 · math.GT · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HBYIH2PRCGOZCDGVTWRUDC6JRZ}

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

2 papers in Pith

The Ozsv\'ath-Szab\'o tau-invariant of braided satellites

Deeply Slice Knot Detection via Immersed Curves

Receipt and verification

First computed	2026-07-05T06:53:01.356827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

387083e9f1119d910cd59da3418bc98e5f2f58c329f6c11471b31d1d8a851a44

Aliases

arxiv: 2309.12297 · arxiv_version: 2309.12297v1 · doi: 10.48550/arxiv.2309.12297 · pith_short_12: HBYIH2PRCGOZ · pith_short_16: HBYIH2PRCGOZCDGV · pith_short_8: HBYIH2PR

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/HBYIH2PRCGOZCDGVTWRUDC6JRZ \
  | 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: 387083e9f1119d910cd59da3418bc98e5f2f58c329f6c11471b31d1d8a851a44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b5f2a4f7895d5135c7269a769e1b67a60086ece3f0ca5dc6b6332d7bdfe7e3e",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-09-21T17:57:12Z",
    "title_canon_sha256": "361366f3a9777f31e577e0bf9a21d371c04af00cc818bf617ab825d4e68076d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.12297",
    "kind": "arxiv",
    "version": 1
  }
}