Pith Number

pith:NZG4QJCZ

pith:2015:NZG4QJCZLYZ3INSSRKLTRP5G6B

not attested not anchored not stored refs pending

Convex potentials and optimal shift generated oblique duals in shift invariant spaces

Demetrio Stojanoff, Maria Jose Benac, Pedro Massey

arxiv:1508.01739 v2 · 2015-08-07 · 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{NZG4QJCZLYZ3INSSRKLTRP5G6B}

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	2026-05-18T01:10:38.472774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e4dc824595e33b436528a9738bfa6f05d96f6c6a852c263630efda8ad2cf9b2

Aliases

arxiv: 1508.01739 · arxiv_version: 1508.01739v2 · doi: 10.48550/arxiv.1508.01739 · pith_short_12: NZG4QJCZLYZ3 · pith_short_16: NZG4QJCZLYZ3INSS · pith_short_8: NZG4QJCZ

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/NZG4QJCZLYZ3INSSRKLTRP5G6B \
  | 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: 6e4dc824595e33b436528a9738bfa6f05d96f6c6a852c263630efda8ad2cf9b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b882c6e0c14ac2ae847f0e796305ba962cd23f8132b8138e112692d0e62480ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-08-07T16:06:51Z",
    "title_canon_sha256": "61f30d57803e206bc9c3cb3458556edaaaff5bc26ae737117e43b3742c2031ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01739",
    "kind": "arxiv",
    "version": 2
  }
}