Pith Number

pith:WI2XGXF4

pith:2016:WI2XGXF4UZCNRJEPTWZA4ELGEW

not attested not anchored not stored refs pending

The secular evolution of discrete quasi-Keplerian systems. I. Kinetic theory of stellar clusters near black holes

Christophe Pichon, Jean-Baptiste Fouvry, John Magorrian

arxiv:1606.05501 v2 · 2016-06-17 · 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{WI2XGXF4UZCNRJEPTWZA4ELGEW}

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	2026-05-18T00:50:12.455078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b235735cbca644d8a48f9db20e116625be91234139a02e5060c65eae7f4b58f2

Aliases

arxiv: 1606.05501 · arxiv_version: 1606.05501v2 · doi: 10.48550/arxiv.1606.05501 · pith_short_12: WI2XGXF4UZCN · pith_short_16: WI2XGXF4UZCNRJEP · pith_short_8: WI2XGXF4

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/WI2XGXF4UZCNRJEPTWZA4ELGEW \
  | 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: b235735cbca644d8a48f9db20e116625be91234139a02e5060c65eae7f4b58f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d42b3ecee4b6d12101e6ad19f70861ad7901d5af14feb1084578d75297d9e95",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2016-06-17T12:34:33Z",
    "title_canon_sha256": "a22ae11dc172d1947d26d0078569bab806675c53e780e5f02d507c60d9ccf6d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05501",
    "kind": "arxiv",
    "version": 2
  }
}