Pith Number

pith:EXTBYWNT

pith:2001:EXTBYWNT7RGEVBTG5LOJO4VXMM

not attested not anchored not stored refs pending

Orbital Divergence and Relaxation in the Gravitational N-Body Problem

D.C. Heggie, P. Hut

arxiv:astro-ph/0111015 v2 · 2001-11-01 · 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{EXTBYWNT7RGEVBTG5LOJO4VXMM}

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	2026-05-18T01:40:43.816105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25e61c59b3fc4c4a8666eadc9772b76319fa767bb2baff582bfbc5f1c143b68c

Aliases

arxiv: astro-ph/0111015 · arxiv_version: astro-ph/0111015v2 · doi: 10.48550/arxiv.astro-ph/0111015 · pith_short_12: EXTBYWNT7RGE · pith_short_16: EXTBYWNT7RGEVBTG · pith_short_8: EXTBYWNT

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/EXTBYWNT7RGEVBTG5LOJO4VXMM \
  | 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: 25e61c59b3fc4c4a8666eadc9772b76319fa767bb2baff582bfbc5f1c143b68c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6784a46dbd4b8795a17a474578202c36ba75be6ce4e8e2f58ea31c03ff52f5e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-11-01T13:03:26Z",
    "title_canon_sha256": "1057fe1e8128b7a73d58a056ff4bc675905584ea4a03b0404c01249d1d8c3ae9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0111015",
    "kind": "arxiv",
    "version": 2
  }
}