Pith Number

pith:GNPXY7GL

pith:2023:GNPXY7GLMBW2E7TJ4MPNIHKBWP

not attested not anchored not stored refs pending

A 4-dimensional rational genus bound

Katherine Raoux, Matthew Hedden

arxiv:2308.16853 v1 · 2023-08-31 · 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{GNPXY7GLMBW2E7TJ4MPNIHKBWP}

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

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

Receipt and verification

First computed	2026-07-05T06:46:40.122284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

335f7c7ccb606da27e69e31ed41d41b3ce954ec730c43ecb44e6f48d7e3cd4ee

Aliases

arxiv: 2308.16853 · arxiv_version: 2308.16853v1 · doi: 10.48550/arxiv.2308.16853 · pith_short_12: GNPXY7GLMBW2 · pith_short_16: GNPXY7GLMBW2E7TJ · pith_short_8: GNPXY7GL

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/GNPXY7GLMBW2E7TJ4MPNIHKBWP \
  | 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: 335f7c7ccb606da27e69e31ed41d41b3ce954ec730c43ecb44e6f48d7e3cd4ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b71ca224216426541770dab8ca3825f1b63102fabea12f7ce05891e098578959",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-08-31T16:55:34Z",
    "title_canon_sha256": "5bdd8052a970f8f31f8f12296ad1414c5dddadecf54bcce4b60537b2a8b4ebe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.16853",
    "kind": "arxiv",
    "version": 1
  }
}