Pith Number

pith:6HFCCUP2

pith:2017:6HFCCUP25B3T7XU4Z4MHICZ2W3

not attested not anchored not stored refs pending

Linear or linearizable first-order delay ordinary differential equations and their Lie point symmetries

Pavel Winternitz, Roman Kozlov, Sergey V. Meleshko, Vladimir A. Dorodnitsyn

arxiv:1712.07837 v1 · 2017-12-21 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6HFCCUP25B3T7XU4Z4MHICZ2W3}

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	2026-05-18T00:16:27.631065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1ca2151fae8773fde9ccf18740b3ab6c21a9a9e1409af7a02fe2a5d5e17cca9

Aliases

arxiv: 1712.07837 · arxiv_version: 1712.07837v1 · doi: 10.48550/arxiv.1712.07837 · pith_short_12: 6HFCCUP25B3T · pith_short_16: 6HFCCUP25B3T7XU4 · pith_short_8: 6HFCCUP2

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/6HFCCUP25B3T7XU4Z4MHICZ2W3 \
  | 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: f1ca2151fae8773fde9ccf18740b3ab6c21a9a9e1409af7a02fe2a5d5e17cca9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8842a6c2cf02c8a34c2c29f88ef1a78b754deb0372730ea6e23e0ccf196c306",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-12-21T08:59:06Z",
    "title_canon_sha256": "54b1372723f6e3a73f9b04a0a0ad7558e841b5c8b785d80158a64d1d734b4128"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07837",
    "kind": "arxiv",
    "version": 1
  }
}