Pith Number

pith:XCMCXFF4

pith:2024:XCMCXFF4TKSVDPWL3C6LZYHV5W

not attested not anchored not stored refs pending

Chebyshev approximation by non-Chebyshev systems

Rinat Kamalov, Vladimir Yu. Protasov

arxiv:2403.16330 v3 · 2024-03-24 · math.NA · cs.NA · math.FA · 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{XCMCXFF4TKSVDPWL3C6LZYHV5W}

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	2026-07-05T11:32:14.742053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8982b94bc9aa551becbd8bcbce0f5edb2a4f05903d95da7846f314031edf0ad

Aliases

arxiv: 2403.16330 · arxiv_version: 2403.16330v3 · doi: 10.48550/arxiv.2403.16330 · pith_short_12: XCMCXFF4TKSV · pith_short_16: XCMCXFF4TKSVDPWL · pith_short_8: XCMCXFF4

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/XCMCXFF4TKSVDPWL3C6LZYHV5W \
  | 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: b8982b94bc9aa551becbd8bcbce0f5edb2a4f05903d95da7846f314031edf0ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddbf75dcb9815362a89c39193e28c554484367431f092c9ff2e5bbe5d31b3ea5",
    "cross_cats_sorted": [
      "cs.NA",
      "math.FA",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-03-24T23:36:42Z",
    "title_canon_sha256": "49904f30e66dbb1780e631fdbfe5e2e335130952b437361e2de9090405303cb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.16330",
    "kind": "arxiv",
    "version": 3
  }
}