Pith Number

pith:4R5NJDCA

pith:2018:4R5NJDCAEO2ZGGRGNDCRDEZZ6E

not attested not anchored not stored refs pending

Projection operators onto spaces of Chebyshev splines

Karen Keryan, Markus Passenbrunner

arxiv:1807.07161 v1 · 2018-07-18 · 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{4R5NJDCAEO2ZGGRGNDCRDEZZ6E}

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	2026-05-18T00:10:21.076263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e47ad48c4023b5931a2668c5119339f12681ae77a7aaa2f84a8d06e0891d994c

Aliases

arxiv: 1807.07161 · arxiv_version: 1807.07161v1 · doi: 10.48550/arxiv.1807.07161 · pith_short_12: 4R5NJDCAEO2Z · pith_short_16: 4R5NJDCAEO2ZGGRG · pith_short_8: 4R5NJDCA

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/4R5NJDCAEO2ZGGRGNDCRDEZZ6E \
  | 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: e47ad48c4023b5931a2668c5119339f12681ae77a7aaa2f84a8d06e0891d994c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "965f374007eba40f0283c02d640caa0e5efc041db6139da307894fe1d95cb899",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-07-18T21:22:10Z",
    "title_canon_sha256": "50b76818c35eb17ef06f7c4edaea883d0f70e559995c580099ae8758857e9620"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07161",
    "kind": "arxiv",
    "version": 1
  }
}