Pith Number

pith:MTTNK4LB

pith:2008:MTTNK4LBMDITGWI4EBZBYIGLTV

not attested not anchored not stored refs pending

Anisotropic distribution functions for spherical galaxies

Leonid Ossipkov, Zhenglu Jiang

arxiv:0812.4898 v1 · 2008-12-29 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTTNK4LBMDITGWI4EBZBYIGLTV}

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	2026-07-04T15:35:18.513754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64e6d5716160d133591c20721c20cb9d7841b98e98710870727f134f79ac9f40

Aliases

arxiv: 0812.4898 · arxiv_version: 0812.4898v1 · doi: 10.48550/arxiv.0812.4898 · pith_short_12: MTTNK4LBMDIT · pith_short_16: MTTNK4LBMDITGWI4 · pith_short_8: MTTNK4LB

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/MTTNK4LBMDITGWI4EBZBYIGLTV \
  | 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: 64e6d5716160d133591c20721c20cb9d7841b98e98710870727f134f79ac9f40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1734bb88ea3f2984f353a946fa942ac4811d20a6b87335b3281edf790648812",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-12-29T11:54:29Z",
    "title_canon_sha256": "30f998b7e3f683f73f4bb3339a19a5da81a93f9bcd7e627fa1f8aba6b4367dd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.4898",
    "kind": "arxiv",
    "version": 1
  }
}