Pith Number

pith:X4U4R4SY

pith:2018:X4U4R4SY5DFXIODN47E372G5OI

not attested not anchored not stored refs pending

A two-parameter family of double-power-law biorthonormal potential-density expansions

Cambridge), E. J. Lilley, J.L. Sanders, N.W. Evans (IoA

arxiv:1804.11190 v1 · 2018-04-26 · astro-ph.GA · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4U4R4SY5DFXIODN47E372G5OI}

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	2026-05-18T00:15:13.770780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf29c8f258e8cb74386de7c9bfe8dd7233af643af424f44030bb83c758152581

Aliases

arxiv: 1804.11190 · arxiv_version: 1804.11190v1 · doi: 10.48550/arxiv.1804.11190 · pith_short_12: X4U4R4SY5DFX · pith_short_16: X4U4R4SY5DFXIODN · pith_short_8: X4U4R4SY

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/X4U4R4SY5DFXIODN47E372G5OI \
  | 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: bf29c8f258e8cb74386de7c9bfe8dd7233af643af424f44030bb83c758152581

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7b9086dc40e69d273b37739933980854a95543295245ef7e52fc075de44d5db",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2018-04-26T14:14:27Z",
    "title_canon_sha256": "61e0816ebdabf8692b05d86510ce834d0cb1cae96ea4656a97b8dd6a3be5f7de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.11190",
    "kind": "arxiv",
    "version": 1
  }
}