Pith Number

pith:UCBE3IVN

pith:2016:UCBE3IVNC5EZQAMLM2UOKBNLTI

not attested not anchored not stored refs pending

A modified WKB formulation for linear eigenmodes of a collisionless self-gravitating disc in the epicyclic approximation

Bangalore, Chandigarh, India), Mamta Gulati (Indian Institute of Science Education, Research Mohali, Tarun Deep Saini (Indian Institute of Science

arxiv:1601.04148 v1 · 2016-01-16 · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UCBE3IVNC5EZQAMLM2UOKBNLTI}

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	2026-05-18T01:15:51.365633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0824da2ad174998018b66a8e505ab9a01cd1ea72e7651ca32e056a61cde3226

Aliases

arxiv: 1601.04148 · arxiv_version: 1601.04148v1 · doi: 10.48550/arxiv.1601.04148 · pith_short_12: UCBE3IVNC5EZ · pith_short_16: UCBE3IVNC5EZQAML · pith_short_8: UCBE3IVN

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/UCBE3IVNC5EZQAMLM2UOKBNLTI \
  | 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: a0824da2ad174998018b66a8e505ab9a01cd1ea72e7651ca32e056a61cde3226

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c5f14ddd91fd26c2543294f63027d9b754f90c2b72729afabfea92778e8776b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2016-01-16T10:10:05Z",
    "title_canon_sha256": "c5f8533281cd2e1f9798686715a6bdf83fffe59b1fca2a577af6f4f21f07a045"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04148",
    "kind": "arxiv",
    "version": 1
  }
}