Pith Number

pith:M4C2BS6E

pith:2014:M4C2BS6EY5HYNMQU7NUBL2H7BE

not attested not anchored not stored refs pending

On root mean square approximation by exponential functions

Ruslan Sharipov

arxiv:1411.2467 v1 · 2014-11-05 · math.CA · math.FA · 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{M4C2BS6EY5HYNMQU7NUBL2H7BE}

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	2026-05-18T02:38:07.358666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6705a0cbc4c74f86b214fb6815e8ff093cd17f85e516e224b313abd33734b660

Aliases

arxiv: 1411.2467 · arxiv_version: 1411.2467v1 · doi: 10.48550/arxiv.1411.2467 · pith_short_12: M4C2BS6EY5HY · pith_short_16: M4C2BS6EY5HYNMQU · pith_short_8: M4C2BS6E

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/M4C2BS6EY5HYNMQU7NUBL2H7BE \
  | 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: 6705a0cbc4c74f86b214fb6815e8ff093cd17f85e516e224b313abd33734b660

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e79abf222f8919085eed0d7fb9372395ddcdfc732eec6ff3591c7718e38a01cd",
    "cross_cats_sorted": [
      "math.FA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-11-05T19:57:16Z",
    "title_canon_sha256": "af26146832b293cd0f288ec8ff3032cd318a3d6b35013b09e3d6b1d60bc98f9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2467",
    "kind": "arxiv",
    "version": 1
  }
}