Pith Number

pith:767KQLFL

pith:2012:767KQLFL3LUWBGPJTEQBW5GEMM

not attested not anchored not stored refs pending

Visible Points in Convex Sets and Best Approximation

Frank Deutsch, Hein Hundal, Ludmil Zikatanov

arxiv:1211.1351 v1 · 2012-11-06 · math.FA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{767KQLFL3LUWBGPJTEQBW5GEMM}

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	2026-05-18T03:41:21.776828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffbea82cabdae96099e999201b74c4632768f4e4793ec192c9af68c78124c311

Aliases

arxiv: 1211.1351 · arxiv_version: 1211.1351v1 · doi: 10.48550/arxiv.1211.1351 · pith_short_12: 767KQLFL3LUW · pith_short_16: 767KQLFL3LUWBGPJ · pith_short_8: 767KQLFL

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/767KQLFL3LUWBGPJTEQBW5GEMM \
  | 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: ffbea82cabdae96099e999201b74c4632768f4e4793ec192c9af68c78124c311

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f78fe5c5c3e7aeec527dc270aa16b9795267dab8d81890b56d6c74b623777b3f",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-06T19:14:07Z",
    "title_canon_sha256": "804c527a8287d1b687cd3a418a02cd98d640dd102ba0991290ec5e2f34105350"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1351",
    "kind": "arxiv",
    "version": 1
  }
}