Pith Number

pith:3AD23KOA

pith:2021:3AD23KOA3FPETHFBATWORWHMIN

not attested not anchored not stored refs pending

Tuning symplectic integrators is easy and worthwhile

Robert I McLachlan

arxiv:2104.10269 v1 · 2021-04-20 · physics.comp-ph · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3AD23KOA3FPETHFBATWORWHMIN}

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	2026-07-05T04:03:45.829916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d807ada9c0d95e499ca104ece8d8ec437a6e67c0b95642be899f000228104814

Aliases

arxiv: 2104.10269 · arxiv_version: 2104.10269v1 · doi: 10.48550/arxiv.2104.10269 · pith_short_12: 3AD23KOA3FPE · pith_short_16: 3AD23KOA3FPETHFB · pith_short_8: 3AD23KOA

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/3AD23KOA3FPETHFBATWORWHMIN \
  | 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: d807ada9c0d95e499ca104ece8d8ec437a6e67c0b95642be899f000228104814

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9c8de9e2267a508a22f0b7677519ee5dd662ebac89aeb9c0e639961b17c5ee3",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2021-04-20T22:19:22Z",
    "title_canon_sha256": "b4472382929163102e0728517c64f38946177c5d8122cd032aa3b59c4a34cf81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.10269",
    "kind": "arxiv",
    "version": 1
  }
}