Pith Number

pith:4XZPKOPC

pith:2022:4XZPKOPCYGVVM7G6AO6ALHZ7FE

not attested not anchored not stored refs pending

For Exotic Surfaces with Boundary, One Stabilization is Not Enough

Gary Guth

arxiv:2207.11847 v2 · 2022-07-24 · 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{4XZPKOPCYGVVM7G6AO6ALHZ7FE}

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

Exotic disks and singular instanton Floer homology

Real bordered Floer homology

Receipt and verification

First computed	2026-07-05T04:55:53.155525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5f2f539e2c1ab567cde03bc059f3f2939c29ae967c9b77c726bd380da763705

Aliases

arxiv: 2207.11847 · arxiv_version: 2207.11847v2 · doi: 10.48550/arxiv.2207.11847 · pith_short_12: 4XZPKOPCYGVV · pith_short_16: 4XZPKOPCYGVVM7G6 · pith_short_8: 4XZPKOPC

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/4XZPKOPCYGVVM7G6AO6ALHZ7FE \
  | 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: e5f2f539e2c1ab567cde03bc059f3f2939c29ae967c9b77c726bd380da763705

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adbbc324d1ef3b145bed5d99875a568fed6d62d56407379d6417e0e73480b6a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-07-24T23:34:02Z",
    "title_canon_sha256": "c394ef234fd909e6ab25b7227f0f6eb23cf24fe892c4f33ee13a69cf38a4bc2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.11847",
    "kind": "arxiv",
    "version": 2
  }
}