Pith Number

pith:QNMTXJLA

pith:2025:QNMTXJLARA62X7PQMFTTPWDXWH

not attested not anchored not stored refs pending

Lagrangian split tori in $S^2 \times S^2$ and billiards

Jo\'e Brendel, Joontae Kim

arxiv:2502.03324 v1 · 2025-02-05 · math.SG · 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{QNMTXJLARA62X7PQMFTTPWDXWH}

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.

Cited by

1 paper in Pith

Nodal Tangles

Receipt and verification

First computed	2026-07-05T10:10:03.182324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83593ba560883dabfdf0616737d877b1ddc12f8213b35e84961f490a42c6ce00

Aliases

arxiv: 2502.03324 · arxiv_version: 2502.03324v1 · doi: 10.48550/arxiv.2502.03324 · pith_short_12: QNMTXJLARA62 · pith_short_16: QNMTXJLARA62X7PQ · pith_short_8: QNMTXJLA

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/QNMTXJLARA62X7PQMFTTPWDXWH \
  | 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: 83593ba560883dabfdf0616737d877b1ddc12f8213b35e84961f490a42c6ce00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07270445f64121a678c3b38243484562fce551986cd68d06bc01a2cc4cc79333",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-02-05T16:22:26Z",
    "title_canon_sha256": "b58747e81dbf21316f58167d1f491b8751d9d5b9231834f2466976b0c86c30b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.03324",
    "kind": "arxiv",
    "version": 1
  }
}