Pith Number

pith:P3LI6GAJ

pith:2015:P3LI6GAJDRIW5WKYZDEXIK5SGN

not attested not anchored not stored refs pending

Convexity and a Stone-type theorem for convex sets in abelian semigroup setting

Witold Jarczyk, Zsolt P\'ales

arxiv:1512.07275 v1 · 2015-12-22 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3LI6GAJDRIW5WKYZDEXIK5SGN}

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	2026-05-18T01:23:50.191345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ed68f18091c516ed958c8c9742bb23379661b2fa9836b138a9b32353351115b

Aliases

arxiv: 1512.07275 · arxiv_version: 1512.07275v1 · doi: 10.48550/arxiv.1512.07275 · pith_short_12: P3LI6GAJDRIW · pith_short_16: P3LI6GAJDRIW5WKY · pith_short_8: P3LI6GAJ

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/P3LI6GAJDRIW5WKYZDEXIK5SGN \
  | 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: 7ed68f18091c516ed958c8c9742bb23379661b2fa9836b138a9b32353351115b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f1f6cc10f9596868b7dbb8384625cd481d65b86ac023f716bd2a400231be47f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-12-22T22:00:37Z",
    "title_canon_sha256": "2c392ffbab9d0f07ee887c1df69c8664367ffca33ec5a43f1a7868bc3322104a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07275",
    "kind": "arxiv",
    "version": 1
  }
}