Pith Number

pith:UTK4WKI3

pith:2023:UTK4WKI3G6H47MNWT5NPRHWM3H

not attested not anchored not stored refs pending

Subtransversality and Strong CHIP of Closed Sets in Asplund Spaces

Jen-Chih Yao, Michel Th\'era, Zhou Wei

arxiv:2309.03408 v2 · 2023-09-07 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UTK4WKI3G6H47MNWT5NPRHWM3H}

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	2026-07-05T09:11:45.554324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4d5cb291b378fcfb1b69f5af89eccd9fc7ab27783dacbda151ab75a36f3d196

Aliases

arxiv: 2309.03408 · arxiv_version: 2309.03408v2 · doi: 10.48550/arxiv.2309.03408 · pith_short_12: UTK4WKI3G6H4 · pith_short_16: UTK4WKI3G6H47MNW · pith_short_8: UTK4WKI3

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/UTK4WKI3G6H47MNWT5NPRHWM3H \
  | 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: a4d5cb291b378fcfb1b69f5af89eccd9fc7ab27783dacbda151ab75a36f3d196

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0f7f0a3ee4ebb36562ef2785b2c7adcce0e8c674a93814422a0c86c63c766c3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-09-07T00:05:07Z",
    "title_canon_sha256": "4a5f902c5f289a4afd3c80c865255b1d8fcc99b686a374ccd3770f387378894e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.03408",
    "kind": "arxiv",
    "version": 2
  }
}