Pith Number

pith:TEJGKMQU

pith:2025:TEJGKMQUH6DTUTLOHTIFY6QF34

not attested not anchored not stored refs pending

Robust computation of higher-dimensional invariant tori from individual trajectories

Jackson Kulik, Joshua Burby, Maximilian Ruth

arxiv:2505.08715 v1 · 2025-05-13 · math.DS · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TEJGKMQUH6DTUTLOHTIFY6QF34}

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	2026-07-05T11:02:35.147838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99126532143f873a4d6e3cd05c7a05df3454674f97d791706a0524ca5c4d9b3e

Aliases

arxiv: 2505.08715 · arxiv_version: 2505.08715v1 · doi: 10.48550/arxiv.2505.08715 · pith_short_12: TEJGKMQUH6DT · pith_short_16: TEJGKMQUH6DTUTLO · pith_short_8: TEJGKMQU

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/TEJGKMQUH6DTUTLOHTIFY6QF34 \
  | 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: 99126532143f873a4d6e3cd05c7a05df3454674f97d791706a0524ca5c4d9b3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d89fc5775079e0d7c0c10c50af0027ae37561e726c6c4278260257cf1a1daeb",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-05-13T16:22:33Z",
    "title_canon_sha256": "7c97e862140ad6a2883cd354d325a197bc7cc1306f79f9c9ddbcc09c39a1209d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.08715",
    "kind": "arxiv",
    "version": 1
  }
}