Pith Number

pith:XCMWAJUP

pith:2025:XCMWAJUPW3BJG7HW6QIW56KB4U

not attested not anchored not stored refs pending

A fast and memoryless numerical method for solving fractional differential equations

Ernst Hairer, Nicola Guglielmi

arxiv:2506.04188 v2 · 2025-06-04 · math.NA · cs.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{XCMWAJUPW3BJG7HW6QIW56KB4U}

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	2026-07-05T11:27:30.527691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b89960268fb6c2937cf6f4116ef941e51985328d49453d87416ef0c3913edecb

Aliases

arxiv: 2506.04188 · arxiv_version: 2506.04188v2 · doi: 10.48550/arxiv.2506.04188 · pith_short_12: XCMWAJUPW3BJ · pith_short_16: XCMWAJUPW3BJG7HW · pith_short_8: XCMWAJUP

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/XCMWAJUPW3BJG7HW6QIW56KB4U \
  | 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: b89960268fb6c2937cf6f4116ef941e51985328d49453d87416ef0c3913edecb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f6d34a0c37b070424e6bfe4d7f7585cec64577b9367035399c95f61e9dbd92e",
    "cross_cats_sorted": [
      "cs.NA",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-06-04T17:36:01Z",
    "title_canon_sha256": "9753571ce81485dd43421002d2489d03fa6ab729e388c97f4837a5eff5489297"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04188",
    "kind": "arxiv",
    "version": 2
  }
}