Pith Number

pith:VAWWSRU4

pith:2015:VAWWSRU4SIHSP35SFGFJ6FFSIH

not attested not anchored not stored refs pending

Stellar Dynamics around a Massive Black Hole I: Secular Collisionless Theory

Jihad R. Touma, S. Sridhar

arxiv:1509.02397 v2 · 2015-09-08 · astro-ph.GA · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VAWWSRU4SIHSP35SFGFJ6FFSIH}

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	2026-05-18T01:18:43.222836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a82d69469c920f27efb2298a9f14b241da7a0a90285b5bdb8e99f25552c9beef

Aliases

arxiv: 1509.02397 · arxiv_version: 1509.02397v2 · doi: 10.48550/arxiv.1509.02397 · pith_short_12: VAWWSRU4SIHS · pith_short_16: VAWWSRU4SIHSP35S · pith_short_8: VAWWSRU4

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/VAWWSRU4SIHSP35SFGFJ6FFSIH \
  | 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: a82d69469c920f27efb2298a9f14b241da7a0a90285b5bdb8e99f25552c9beef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d762be92c3caeb16e1937107cc60f4cdfcbe42bb20f69f8d3d394823f5ea032f",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2015-09-08T14:56:51Z",
    "title_canon_sha256": "ddabb1097c1caf21d3ce697a3e9a29ae2f264e19527d3ee13fb6aa00c41c892f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02397",
    "kind": "arxiv",
    "version": 2
  }
}