Pith Number

pith:CCB4GQCV

pith:2011:CCB4GQCVPCNQVC4MHNG75DZQU2

not attested not anchored not stored refs pending

A lower bound on the Milky Way mass from general phase-space distribution function models

Joanna Ja{\l}ocha, {\L}ukasz Bratek, Marek Kutschera, Szymon Sikora

arxiv:1108.1629 v5 · 2011-08-08 · 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{CCB4GQCVPCNQVC4MHNG75DZQU2}

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	2026-05-18T02:21:42.393343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1083c34055789b0a8b8c3b4dfe8f30a6960996b30b367896ede6aa311dc540b0

Aliases

arxiv: 1108.1629 · arxiv_version: 1108.1629v5 · doi: 10.48550/arxiv.1108.1629 · pith_short_12: CCB4GQCVPCNQ · pith_short_16: CCB4GQCVPCNQVC4M · pith_short_8: CCB4GQCV

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/CCB4GQCVPCNQVC4MHNG75DZQU2 \
  | 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: 1083c34055789b0a8b8c3b4dfe8f30a6960996b30b367896ede6aa311dc540b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72383961af6d73a229239dceca3e02a09c4e14e552fa23aed11cbcfb18fc1bf0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2011-08-08T08:41:01Z",
    "title_canon_sha256": "d170b7015aa96a7ffee7d030089c940d46964ba209563c1f75a7ce96755c852f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1629",
    "kind": "arxiv",
    "version": 5
  }
}