Pith Number

pith:PENW5QNH

pith:2016:PENW5QNHZJKPPW2IACAB3UKFLS

not attested not anchored not stored refs pending

Degenerate billiards in celestial mechanics

Sergey Bolotin

arxiv:1612.08907 v1 · 2016-12-28 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PENW5QNHZJKPPW2IACAB3UKFLS}

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	2026-05-18T00:49:10.362845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

791b6ec1a7ca54f7db4800801dd1455cbf8c1b5d26b63bfb38e457996a74e18f

Aliases

arxiv: 1612.08907 · arxiv_version: 1612.08907v1 · doi: 10.48550/arxiv.1612.08907 · pith_short_12: PENW5QNHZJKP · pith_short_16: PENW5QNHZJKPPW2I · pith_short_8: PENW5QNH

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/PENW5QNHZJKPPW2IACAB3UKFLS \
  | 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: 791b6ec1a7ca54f7db4800801dd1455cbf8c1b5d26b63bfb38e457996a74e18f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5204fdf011bbd57f5449b3e66ed5e5dd13e2cd98e77b641f06b4eba15c533379",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-28T15:12:53Z",
    "title_canon_sha256": "8451995ca8c7450b20139c981b3964893d4b9d943ef961344eff645f12a73a1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08907",
    "kind": "arxiv",
    "version": 1
  }
}