Pith Number

pith:RTRDOXQW

pith:2013:RTRDOXQWO6GU6T3OCGTELOU5YU

not attested not anchored not stored refs pending

Tonelli Lagrangian systems on the 2-torus and topological entropy

Jan Philipp Schr\"oder

arxiv:1308.6518 v1 · 2013-08-29 · 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{RTRDOXQWO6GU6T3OCGTELOU5YU}

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	2026-05-18T03:14:39.664171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ce2375e16778d4f4f6e11a645ba9dc5354ba5044cdf5f6cc2db922605ad200e

Aliases

arxiv: 1308.6518 · arxiv_version: 1308.6518v1 · doi: 10.48550/arxiv.1308.6518 · pith_short_12: RTRDOXQWO6GU · pith_short_16: RTRDOXQWO6GU6T3O · pith_short_8: RTRDOXQW

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/RTRDOXQWO6GU6T3OCGTELOU5YU \
  | 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: 8ce2375e16778d4f4f6e11a645ba9dc5354ba5044cdf5f6cc2db922605ad200e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcb69949f2d85fa4aa17282dc4bf88aa5d32db1c7c02824163144a2b23e74ac3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-08-29T16:48:16Z",
    "title_canon_sha256": "81e2d2a635259140f205f32b8e128f2d8b91fe56dd403152328dfc43500c8d50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6518",
    "kind": "arxiv",
    "version": 1
  }
}