Pith Number

pith:72BKWKV7

pith:2017:72BKWKV7DPM53FZWRTNKMWB5BS

not attested not anchored not stored refs pending

On the Non-Polyhedricity of Sets with Upper and Lower Bounds in Dual Spaces

Constantin Christof, Gerd Wachsmuth

arxiv:1711.02588 v1 · 2017-11-07 · 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{72BKWKV7DPM53FZWRTNKMWB5BS}

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	2026-05-18T00:31:07.481892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe82ab2abf1bd9dd97368cdaa6583d0cbfcbfe5ed070341fb37db0fbe4e665e0

Aliases

arxiv: 1711.02588 · arxiv_version: 1711.02588v1 · doi: 10.48550/arxiv.1711.02588 · pith_short_12: 72BKWKV7DPM5 · pith_short_16: 72BKWKV7DPM53FZW · pith_short_8: 72BKWKV7

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/72BKWKV7DPM53FZWRTNKMWB5BS \
  | 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: fe82ab2abf1bd9dd97368cdaa6583d0cbfcbfe5ed070341fb37db0fbe4e665e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3d6bd488a898cde2ca970526d15b3bac064c04c1e40472cadab849e0d159b44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-11-07T16:23:29Z",
    "title_canon_sha256": "e8cd8e1360a942baa18ecbe210115a1b336f0f24ad430fe6cec8499853c1b62a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02588",
    "kind": "arxiv",
    "version": 1
  }
}