Pith Number

pith:MKZFZSIG

pith:2012:MKZFZSIGKRJCFFVVIK4BOCIJEN

not attested not anchored not stored refs pending

Hyers-Ulam stability of higher-order Cauchy-Euler dynamic equations on time scales

Douglas R. Anderson

arxiv:1212.4163 v1 · 2012-12-17 · 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{MKZFZSIGKRJCFFVVIK4BOCIJEN}

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	2026-05-18T03:38:13.638930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62b25cc90654522296b542b8170909234415c20466144bee20dbec0dc26c0727

Aliases

arxiv: 1212.4163 · arxiv_version: 1212.4163v1 · doi: 10.48550/arxiv.1212.4163 · pith_short_12: MKZFZSIGKRJC · pith_short_16: MKZFZSIGKRJCFFVV · pith_short_8: MKZFZSIG

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/MKZFZSIGKRJCFFVVIK4BOCIJEN \
  | 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: 62b25cc90654522296b542b8170909234415c20466144bee20dbec0dc26c0727

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8c4d3ef6d5d4ec11684c95774b9be32f4cc31616b0c1941f23d7251d07c58d2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-12-17T21:05:21Z",
    "title_canon_sha256": "10368b986d17f4639c513b8b9db3ee73fad9887a6207b2df8a5585a9e33df737"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4163",
    "kind": "arxiv",
    "version": 1
  }
}