Pith Number

pith:WKNG3L6V

pith:2011:WKNG3L6VDKZ4IG73YTL24QZQQ7

not attested not anchored not stored refs pending

A "hidden" characterization of polyhedral convex sets

Ivan Hetman, Taras Banakh

arxiv:1106.2227 v2 · 2011-06-11 · math.FA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WKNG3L6VDKZ4IG73YTL24QZQQ7}

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	2026-05-18T04:08:03.695526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b29a6dafd51ab3c41bfbc4d7ae433087fa57b75e516270ae65ca2505265bda9c

Aliases

arxiv: 1106.2227 · arxiv_version: 1106.2227v2 · doi: 10.48550/arxiv.1106.2227 · pith_short_12: WKNG3L6VDKZ4 · pith_short_16: WKNG3L6VDKZ4IG73 · pith_short_8: WKNG3L6V

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/WKNG3L6VDKZ4IG73YTL24QZQQ7 \
  | 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: b29a6dafd51ab3c41bfbc4d7ae433087fa57b75e516270ae65ca2505265bda9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa5eacfe10ade5c128dd17861ad3c6f47630b9b5ab699fa82eb1ac573a3587fb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-06-11T11:38:32Z",
    "title_canon_sha256": "62d3104efef58898dfaf13347e21dad8f3dc045acc6ec10ce34627139b7126ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2227",
    "kind": "arxiv",
    "version": 2
  }
}