Pith Number

pith:C7ZX5BSH

pith:2015:C7ZX5BSHGTLPN3TYFXDAFR5JWO

not attested not anchored not stored refs pending

Integration and approximation in cosine spaces of smooth functions

Christian Irrgeher, Friedrich Pillichshammer, Peter Kritzer

arxiv:1511.00328 v1 · 2015-11-01 · 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{C7ZX5BSHGTLPN3TYFXDAFR5JWO}

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	2026-05-18T01:26:24.786606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17f37e864734d6f6ee782dc602c7a9b3967944c9ecc187a676a7182c6f0757de

Aliases

arxiv: 1511.00328 · arxiv_version: 1511.00328v1 · doi: 10.48550/arxiv.1511.00328 · pith_short_12: C7ZX5BSHGTLP · pith_short_16: C7ZX5BSHGTLPN3TY · pith_short_8: C7ZX5BSH

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/C7ZX5BSHGTLPN3TYFXDAFR5JWO \
  | 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: 17f37e864734d6f6ee782dc602c7a9b3967944c9ecc187a676a7182c6f0757de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb5d73cc3e3f56f778f17f65fa11dc8d444e1cafbe4d93d2d62984d259f98c0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-11-01T23:02:18Z",
    "title_canon_sha256": "37dd8f29bff107f222117c98addad41e11def4b77e0e8a63ac3324e8f238be6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00328",
    "kind": "arxiv",
    "version": 1
  }
}