Pith Number

pith:JD4XCLFA

pith:2016:JD4XCLFAPBMA2LETE2RK3PU6AE

not attested not anchored not stored refs pending

Lagrangian Relations and Linear Point Billiards

Andreas Knauf, Jacques F\'ejoz, Richard Montgomery

arxiv:1606.01420 v1 · 2016-06-04 · 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{JD4XCLFAPBMA2LETE2RK3PU6AE}

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	2026-05-18T00:49:18.525391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48f9712ca078580d2c9326a2adbe9e01348e7fd1d67f58bceed64bc6a8bcbb78

Aliases

arxiv: 1606.01420 · arxiv_version: 1606.01420v1 · doi: 10.48550/arxiv.1606.01420 · pith_short_12: JD4XCLFAPBMA · pith_short_16: JD4XCLFAPBMA2LET · pith_short_8: JD4XCLFA

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/JD4XCLFAPBMA2LETE2RK3PU6AE \
  | 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: 48f9712ca078580d2c9326a2adbe9e01348e7fd1d67f58bceed64bc6a8bcbb78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f6bb36b1a58f280c9095399d89b9300a091be8fa48b2b6d19cd94516701d307",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-06-04T22:04:05Z",
    "title_canon_sha256": "ac6388c34d8d29cbbc15535aca080d91fd0d492ad8869d4e4d524105e1bcd69a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01420",
    "kind": "arxiv",
    "version": 1
  }
}