Pith Number

pith:DPVU4ICN

pith:2018:DPVU4ICNOWQ3OSBIBKKD7QOBR6

not attested not anchored not stored refs pending

Hyers--Ulam Stability for Discrete Time Scale with Two Step Sizes

Douglas R. Anderson

arxiv:1807.03859 v1 · 2018-07-10 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DPVU4ICNOWQ3OSBIBKKD7QOBR6}

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	2026-05-18T00:10:58.842510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1beb4e204d75a1b748280a943fc1c18f8dbfc8c2c671b00d359cc6a441d3cdbc

Aliases

arxiv: 1807.03859 · arxiv_version: 1807.03859v1 · doi: 10.48550/arxiv.1807.03859 · pith_short_12: DPVU4ICNOWQ3 · pith_short_16: DPVU4ICNOWQ3OSBI · pith_short_8: DPVU4ICN

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/DPVU4ICNOWQ3OSBIBKKD7QOBR6 \
  | 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: 1beb4e204d75a1b748280a943fc1c18f8dbfc8c2c671b00d359cc6a441d3cdbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87440315c59d3a584142c4a0a0ad638024833de2a4cca3951092b5178164e738",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-07-10T20:56:38Z",
    "title_canon_sha256": "aec2d946fc5fa476d080dd2a77fe4c70af333fded36d7f91aa19194b816cc591"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.03859",
    "kind": "arxiv",
    "version": 1
  }
}