Pith Number

pith:MJD5PQCH

pith:2012:MJD5PQCHDHXI5F6A6DBF74CYXX

not attested not anchored not stored refs pending

A duality between the metric projection onto a convex cone and the metric projection onto its dual in Hilbert spaces

S. Z. N\'emeth

arxiv:1212.5438 v3 · 2012-12-21 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MJD5PQCHDHXI5F6A6DBF74CYXX}

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	2026-05-18T03:12:57.827399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6247d7c04719ee8e97c0f0c25ff058bdc65da6cd66d252cc23e11a010e6cb70e

Aliases

arxiv: 1212.5438 · arxiv_version: 1212.5438v3 · doi: 10.48550/arxiv.1212.5438 · pith_short_12: MJD5PQCHDHXI · pith_short_16: MJD5PQCHDHXI5F6A · pith_short_8: MJD5PQCH

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/MJD5PQCHDHXI5F6A6DBF74CYXX \
  | 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: 6247d7c04719ee8e97c0f0c25ff058bdc65da6cd66d252cc23e11a010e6cb70e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "701ba7c1c838fb2e4223507b997df877e2dae1f14143d5b09289db130fa99469",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-12-21T13:55:12Z",
    "title_canon_sha256": "fa16721f7444ca80696164fed43c82fbbe770fe7a6234b51a1d600abb8108565"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5438",
    "kind": "arxiv",
    "version": 3
  }
}