Pith Number

pith:RMDF7QWU

pith:2016:RMDF7QWU7FBSMMFFVWJ76PFFPH

not attested not anchored not stored refs pending

Numerical validation of blow-up solutions of ordinary differential equations

Akitoshi Takayasu, Kaname Matsue, Kazuaki Tanaka, Makoto Mizuguchi, Shin'ichi Oishi, Takiko Sasaki

arxiv:1606.03039 v2 · 2016-06-09 · math.NA · 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{RMDF7QWU7FBSMMFFVWJ76PFFPH}

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	2026-05-18T00:59:58.220905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b065fc2d4f9432630a5ad93ff3ca579dcfff6401b3061a272635a0ceb0fe129

Aliases

arxiv: 1606.03039 · arxiv_version: 1606.03039v2 · doi: 10.48550/arxiv.1606.03039 · pith_short_12: RMDF7QWU7FBS · pith_short_16: RMDF7QWU7FBSMMFF · pith_short_8: RMDF7QWU

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/RMDF7QWU7FBSMMFFVWJ76PFFPH \
  | 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: 8b065fc2d4f9432630a5ad93ff3ca579dcfff6401b3061a272635a0ceb0fe129

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aeea079211618bba5af43237b43f2f39185880a78dae92f12826d4383064972a",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-06-09T17:53:50Z",
    "title_canon_sha256": "0a5b3c5636d0c9f068acf12ad003cc3bb3c0b933e7505b0b94bef261b5e44028"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03039",
    "kind": "arxiv",
    "version": 2
  }
}