pith. sign in
Pith Number

pith:PCJ7FRNY

pith:2017:PCJ7FRNYYXMDNHD76AZBCSUBD4
not attested not anchored not stored refs pending

A Universal Ordinary Differential Equation

Amaury Pouly, Olivier Bournez

arxiv:1702.08328 v6 · 2017-02-20 · math.CA · cs.CC · cs.LO · cs.SY · eess.SY · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PCJ7FRNYYXMDNHD76AZBCSUBD4}

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 2026-06-04T18:10:31.823038Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7893f2c5b8c5d8369c7ff032114a811f30853cb4ffe0e11dbe5c07dc47e5c59f

Aliases

arxiv: 1702.08328 · arxiv_version: 1702.08328v6 · doi: 10.48550/arxiv.1702.08328 · pith_short_12: PCJ7FRNYYXMD · pith_short_16: PCJ7FRNYYXMDNHD7 · pith_short_8: PCJ7FRNY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PCJ7FRNYYXMDNHD76AZBCSUBD4 \
  | 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: 7893f2c5b8c5d8369c7ff032114a811f30853cb4ffe0e11dbe5c07dc47e5c59f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "631ec41cc1454adb6bcee981332297a828d57e6a1ebf86b95958809a2551c895",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.LO",
      "cs.SY",
      "eess.SY",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-02-20T17:02:15Z",
    "title_canon_sha256": "6960f8f8c37d12e527966007e47141f05d2cd2f55a41f225bd89fd3e328edbab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08328",
    "kind": "arxiv",
    "version": 6
  }
}