Pith Number

pith:KWDDCCEY

pith:2010:KWDDCCEY7M6CLU7ZUCKOP5JB57

not attested not anchored not stored refs pending

Lecture notes on Mather's theory for Lagrangian systems

Alfonso Sorrentino

arxiv:1011.0590 v1 · 2010-11-02 · 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{KWDDCCEY7M6CLU7ZUCKOP5JB57}

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	2026-05-18T04:37:21.287224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5586310898fb3c25d3f9a094e7f521efd85be86d74780d9a26e1e85c40c097cc

Aliases

arxiv: 1011.0590 · arxiv_version: 1011.0590v1 · doi: 10.48550/arxiv.1011.0590 · pith_short_12: KWDDCCEY7M6C · pith_short_16: KWDDCCEY7M6CLU7Z · pith_short_8: KWDDCCEY

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/KWDDCCEY7M6CLU7ZUCKOP5JB57 \
  | 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: 5586310898fb3c25d3f9a094e7f521efd85be86d74780d9a26e1e85c40c097cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16f37e374b8b195e4453cdcf852e372dbe5ad169a72a25a550e955613ab023eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-02T12:07:33Z",
    "title_canon_sha256": "401912518f6bef30f28499b0d7022faf588e945b655d3d55fe7cb1f64da7e542"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0590",
    "kind": "arxiv",
    "version": 1
  }
}