Pith Number

pith:ZPMZXDLI

pith:2015:ZPMZXDLIJQWONFQSHU5PC7EBJF

not attested not anchored not stored refs pending

The tame Butcher group

Alexander Schmeding, Geir Bogfjellmo

arxiv:1509.03452 v3 · 2015-09-11 · math.GR · 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{ZPMZXDLIJQWONFQSHU5PC7EBJF}

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	2026-05-18T01:15:06.745687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbd99b8d684c2ce696123d3af17c81495c344128c0e9d41abcb9235dd4d29412

Aliases

arxiv: 1509.03452 · arxiv_version: 1509.03452v3 · doi: 10.48550/arxiv.1509.03452 · pith_short_12: ZPMZXDLIJQWO · pith_short_16: ZPMZXDLIJQWONFQS · pith_short_8: ZPMZXDLI

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/ZPMZXDLIJQWONFQSHU5PC7EBJF \
  | 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: cbd99b8d684c2ce696123d3af17c81495c344128c0e9d41abcb9235dd4d29412

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33e4a985a098a97bd55b5171c872e5b4b3a0c9fa2eca7ebbb98f36ba6faf8bf6",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-09-11T10:31:49Z",
    "title_canon_sha256": "95d97623d2207ec5fb80b8ab66b86f2fc8f40c8d0b2a7e935ab4e42f93699ae2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03452",
    "kind": "arxiv",
    "version": 3
  }
}