Pith Number

pith:YTPTMCBT

pith:2019:YTPTMCBTDQJCPTQPJEJU3CP4FQ

not attested not anchored not stored refs pending

Normal Vectors on Modified Hopf Manifolds of Delay Differential Equations

Jonas Otten, Martin M\"onnigmann

arxiv:1903.05585 v1 · 2019-03-13 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YTPTMCBTDQJCPTQPJEJU3CP4FQ}

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	2026-05-17T23:51:20.545052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4df3608331c1227ce0f49134d89fc2c2e887c66b0702979ab95c3a6675741ca

Aliases

arxiv: 1903.05585 · arxiv_version: 1903.05585v1 · doi: 10.48550/arxiv.1903.05585 · pith_short_12: YTPTMCBTDQJC · pith_short_16: YTPTMCBTDQJCPTQP · pith_short_8: YTPTMCBT

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/YTPTMCBTDQJCPTQPJEJU3CP4FQ \
  | 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: c4df3608331c1227ce0f49134d89fc2c2e887c66b0702979ab95c3a6675741ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09eaeceec561b11ad42209cb31b7b248107753fe792a23bf421a522870f6dbd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-03-13T16:36:48Z",
    "title_canon_sha256": "c1438fd29bf37f760c7a3b377b85e0c5ab58e34400640eb67603dd055cc68335"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05585",
    "kind": "arxiv",
    "version": 1
  }
}