Pith Number

pith:77SVHH7B

pith:2015:77SVHH7BKA66QUYEZKS2VIP57Y

not attested not anchored not stored refs pending

Billiards in confocal quadrics as a pluri-Lagrangian system

Yuri B. Suris

arxiv:1511.06123 v1 · 2015-11-19 · nlin.SI · math-ph · math.DG · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{77SVHH7BKA66QUYEZKS2VIP57Y}

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	2026-05-18T00:49:19.344330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffe5539fe1503de85304caa5aaa1fdfe12111186efdb5a22b9a3d921f16e870e

Aliases

arxiv: 1511.06123 · arxiv_version: 1511.06123v1 · doi: 10.48550/arxiv.1511.06123 · pith_short_12: 77SVHH7BKA66 · pith_short_16: 77SVHH7BKA66QUYE · pith_short_8: 77SVHH7B

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/77SVHH7BKA66QUYEZKS2VIP57Y \
  | 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: ffe5539fe1503de85304caa5aaa1fdfe12111186efdb5a22b9a3d921f16e870e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5290e517402bf6a4fbcd37b23d26b1d4c0c163e8821c5aa3354fab5e1125c6e8",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2015-11-19T11:16:32Z",
    "title_canon_sha256": "d68b8334472df98d3f1f154737d78b27e758fa00f3144aa56e6e48148aff55cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06123",
    "kind": "arxiv",
    "version": 1
  }
}