Pith Number

pith:KSYSL2TL

pith:2016:KSYSL2TL37FOAPDFXUKXCXEHZD

not attested not anchored not stored refs pending

Rational approximations of the exponential function at rational points

Kalle Lepp\"al\"a, Tapani Matala-aho, Topi T\"orm\"a

arxiv:1609.07076 v1 · 2016-09-22 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KSYSL2TL37FOAPDFXUKXCXEHZD}

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	2026-05-18T01:04:04.514803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54b125ea6bdfcae03c65bd15715c87c8da7841499c188b879942af6b8235a09b

Aliases

arxiv: 1609.07076 · arxiv_version: 1609.07076v1 · doi: 10.48550/arxiv.1609.07076 · pith_short_12: KSYSL2TL37FO · pith_short_16: KSYSL2TL37FOAPDF · pith_short_8: KSYSL2TL

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/KSYSL2TL37FOAPDFXUKXCXEHZD \
  | 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: 54b125ea6bdfcae03c65bd15715c87c8da7841499c188b879942af6b8235a09b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22ab782d8a9671e8ad7233d7eba9e64faa64724e6e3a7f0dc5e2602cce182bf0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-22T17:22:05Z",
    "title_canon_sha256": "5a9b370574049ebf683f236348d88d7846e14eaad432036a82d8aee264de8983"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07076",
    "kind": "arxiv",
    "version": 1
  }
}