Pith Number

pith:Z4MXACDJ

pith:2025:Z4MXACDJVCDYD5LJR53UAT73XD

not attested not anchored not stored refs pending

EXP: a Python/C++ package for basis function expansion methods in galactic dynamics

Martin D. Weinberg, Michael S. Petersen

arxiv:2505.06403 v1 · 2025-05-09 · astro-ph.GA · astro-ph.IM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4MXACDJVCDYD5LJR53UAT73XD}

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	2026-07-05T11:01:08.950719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf19700869a88781f5698f77404ffbb8c36ab6c47b7e04fba46e9aba5fd3f5c3

Aliases

arxiv: 2505.06403 · arxiv_version: 2505.06403v1 · doi: 10.48550/arxiv.2505.06403 · pith_short_12: Z4MXACDJVCDY · pith_short_16: Z4MXACDJVCDYD5LJ · pith_short_8: Z4MXACDJ

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/Z4MXACDJVCDYD5LJR53UAT73XD \
  | 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: cf19700869a88781f5698f77404ffbb8c36ab6c47b7e04fba46e9aba5fd3f5c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe6a5a0fd0f191dd02f514a2d8b7177951ee0f76b116ce706ca5052cd5de65e2",
    "cross_cats_sorted": [
      "astro-ph.IM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2025-05-09T20:01:29Z",
    "title_canon_sha256": "282d03596e21f722f6635ec102fae0f3d3488f7c9de219d60c139565cbf37107"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.06403",
    "kind": "arxiv",
    "version": 1
  }
}