Pith Number

pith:2HAEZKPI

pith:2015:2HAEZKPIIGZ7PHANEDALPCKUJH

not attested not anchored not stored refs pending

Butcher series: A story of rooted trees and numerical methods for evolution equations

Hans Munthe-Kaas, Klas Modin, Olivier Verdier, Robert I McLachlan

arxiv:1512.00906 v3 · 2015-12-02 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2HAEZKPIIGZ7PHANEDALPCKUJH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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.

Cited by

2 papers in Pith

Explicit and Effectively Symmetric Schemes for Neural SDEs on Lie Groups

Higher-Order Neyman Orthogonality in Moment-Condition Models

Receipt and verification

First computed	2026-05-18T00:06:44.048204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1c04ca9e841b3f79c0d20c0b7895449c5de64c4b70561deff8fd28b8ce430a4

Aliases

arxiv: 1512.00906 · arxiv_version: 1512.00906v3 · doi: 10.48550/arxiv.1512.00906 · pith_short_12: 2HAEZKPIIGZ7 · pith_short_16: 2HAEZKPIIGZ7PHAN · pith_short_8: 2HAEZKPI

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/2HAEZKPIIGZ7PHANEDALPCKUJH \
  | 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: d1c04ca9e841b3f79c0d20c0b7895449c5de64c4b70561deff8fd28b8ce430a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "307ff042ee2b07f323b09be6fcdc76e4af636aa7f571b5ddd60d048e268bc6a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-12-02T23:47:57Z",
    "title_canon_sha256": "7a440f0ac3e182c764678e8a496612bc8299cd095adddc8dee76e418932cb21a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00906",
    "kind": "arxiv",
    "version": 3
  }
}