Pith Number

pith:B253PTQG

pith:2016:B253PTQGELXENHNONC3QBBFX7X

not attested not anchored not stored refs pending

Learning with Optimal Interpolation Norms

Andrew M. McDonald, Charles A. Micchelli, Massimiliano Pontil, Patrick L. Combettes

arxiv:1603.09273 v2 · 2016-03-30 · 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{B253PTQGELXENHNONC3QBBFX7X}

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	2026-05-18T00:36:33.391128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ebbb7ce0622ee469dae68b70084b7fdefb7a4282ea462f1c6403f6cefa4c373

Aliases

arxiv: 1603.09273 · arxiv_version: 1603.09273v2 · doi: 10.48550/arxiv.1603.09273 · pith_short_12: B253PTQGELXE · pith_short_16: B253PTQGELXENHNO · pith_short_8: B253PTQG

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/B253PTQGELXENHNONC3QBBFX7X \
  | 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: 0ebbb7ce0622ee469dae68b70084b7fdefb7a4282ea462f1c6403f6cefa4c373

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "234b471d1b5268316fbb75515fc46194a4110ceb86152fbfdff28b97da49362d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-03-30T16:44:32Z",
    "title_canon_sha256": "9cd5e95548b7a4304501f2d2f572e5f26dcec4bc5dfb3e6987497d5c39f579e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09273",
    "kind": "arxiv",
    "version": 2
  }
}