Pith Number

pith:7FHKFUAH

pith:2012:7FHKFUAHF3PS4HB2F3KXTBY42M

not attested not anchored not stored refs pending

Locally Linearized Runge Kutta method of Dormand and Prince

Alina Sotolongo, Jose Miguel Sanchez-Bornot, Juan Carlos Jimenez

arxiv:1209.1415 v2 · 2012-09-06 · 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{7FHKFUAHF3PS4HB2F3KXTBY42M}

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	2026-05-18T03:04:06.809417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f94ea2d0072edf2e1c3a2ed579871cd3218797d2a4b62522be3beefda40d36a9

Aliases

arxiv: 1209.1415 · arxiv_version: 1209.1415v2 · doi: 10.48550/arxiv.1209.1415 · pith_short_12: 7FHKFUAHF3PS · pith_short_16: 7FHKFUAHF3PS4HB2 · pith_short_8: 7FHKFUAH

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/7FHKFUAHF3PS4HB2F3KXTBY42M \
  | 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: f94ea2d0072edf2e1c3a2ed579871cd3218797d2a4b62522be3beefda40d36a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d563b809bbac0569dd81c50adda5e8662648266314e61f269367d6f9ae8232e6",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-09-06T21:31:49Z",
    "title_canon_sha256": "c4ee3f3fa7d412d56282f2fd5af3002835d6c87b7916e14bc712486431630548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1415",
    "kind": "arxiv",
    "version": 2
  }
}