Pith Number

pith:YWLZCI7W

pith:2023:YWLZCI7WGBPE6DRNTQOUZA7DC3

not attested not anchored not stored refs pending

Light bulb smoothing for topological surfaces in 4-manifolds

Byeorhi Kim, Jae Choon Cha

arxiv:2303.12857 v2 · 2023-03-22 · 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{YWLZCI7WGBPE6DRNTQOUZA7DC3}

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

Smoothing topological pseudo-isotopies of 4-manifolds

Receipt and verification

First computed	2026-07-05T11:50:24.056053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5979123f6305e4f0e2d9c1d4c83e316dc8b2d1e442a45fbd924e377e29bf1bd

Aliases

arxiv: 2303.12857 · arxiv_version: 2303.12857v2 · doi: 10.48550/arxiv.2303.12857 · pith_short_12: YWLZCI7WGBPE · pith_short_16: YWLZCI7WGBPE6DRN · pith_short_8: YWLZCI7W

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/YWLZCI7WGBPE6DRNTQOUZA7DC3 \
  | 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: c5979123f6305e4f0e2d9c1d4c83e316dc8b2d1e442a45fbd924e377e29bf1bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12e3609aa59bdf1a2f2f8d241bddb0cd5584f27aa0e0ae4098bc05fa6976b191",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-03-22T18:32:35Z",
    "title_canon_sha256": "a01b3908b580210bdf673560c7c112269e9c408a57f1956b44c2d7db8ca7289e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.12857",
    "kind": "arxiv",
    "version": 2
  }
}