Pith Number

pith:XMUD2ZIX

pith:2017:XMUD2ZIXR3CLDMJ7WIJ3HNDEJK

not attested not anchored not stored refs pending

The asymptotic behavior of solutions to the repulsive $n$-body problem

Gerhard Rein

arxiv:1707.03626 v1 · 2017-07-12 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMUD2ZIXR3CLDMJ7WIJ3HNDEJK}

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	2026-05-18T00:40:25.459905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb283d65178ec4b1b13fb213b3b4644abee2fbbfcd770f703907b22562486126

Aliases

arxiv: 1707.03626 · arxiv_version: 1707.03626v1 · doi: 10.48550/arxiv.1707.03626 · pith_short_12: XMUD2ZIXR3CL · pith_short_16: XMUD2ZIXR3CLDMJ7 · pith_short_8: XMUD2ZIX

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/XMUD2ZIXR3CLDMJ7WIJ3HNDEJK \
  | 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: bb283d65178ec4b1b13fb213b3b4644abee2fbbfcd770f703907b22562486126

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ce671553a0816e4155a386afcea3962aea77d88aea9f8625af42e80d88d088f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-07-12T10:13:44Z",
    "title_canon_sha256": "8b0953a39de9151201217068990908ff9d21469a7bcaba3b2b04c4fd14218f5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03626",
    "kind": "arxiv",
    "version": 1
  }
}