Pith Number

pith:YHASAWMN

pith:2009:YHASAWMNJ7U7NKZHGOL4JP2XFC

not attested not anchored not stored refs pending

Every P-convex subset of $\R^2$ is already strongly P-convex

Thomas Kalmes

arxiv:0907.3037 v1 · 2009-07-17 · math.FA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YHASAWMNJ7U7NKZHGOL4JP2XFC}

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	2026-05-18T00:13:53.914295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1c120598d4fe9f6ab273397c4bf5728b8482b79f4ac09e307143fb84ffb691e

Aliases

arxiv: 0907.3037 · arxiv_version: 0907.3037v1 · doi: 10.48550/arxiv.0907.3037 · pith_short_12: YHASAWMNJ7U7 · pith_short_16: YHASAWMNJ7U7NKZH · pith_short_8: YHASAWMN

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/YHASAWMNJ7U7NKZHGOL4JP2XFC \
  | 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: c1c120598d4fe9f6ab273397c4bf5728b8482b79f4ac09e307143fb84ffb691e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d117d6f63c60c8ef0d13228ff86702c48d42d9031c45b51c1fe13c63863bde0",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-07-17T10:29:53Z",
    "title_canon_sha256": "ed5abc715725aa281649b199c237cda28584a1f1a9a072780ee776cf01a07add"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3037",
    "kind": "arxiv",
    "version": 1
  }
}