Pith Number

pith:UOOSUR7W

pith:2009:UOOSUR7WLO7WCHXERZ5G6LARIW

not attested not anchored not stored refs pending

Differentiability of Mather's average action and integrability on closed surfaces

Alfonso Sorrentino, Daniel Massart

arxiv:0907.2055 v2 · 2009-07-12 · math.DS · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UOOSUR7WLO7WCHXERZ5G6LARIW}

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	2026-05-18T04:33:49.902128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a39d2a47f65bbf611ee48e7a6f2c114587a8b8900890b5e388307e0e4c646761

Aliases

arxiv: 0907.2055 · arxiv_version: 0907.2055v2 · doi: 10.48550/arxiv.0907.2055 · pith_short_12: UOOSUR7WLO7W · pith_short_16: UOOSUR7WLO7WCHXE · pith_short_8: UOOSUR7W

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/UOOSUR7WLO7WCHXERZ5G6LARIW \
  | 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: a39d2a47f65bbf611ee48e7a6f2c114587a8b8900890b5e388307e0e4c646761

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2adefa8d5e274a4e6371c702d7c453797b53995de415ba8259e419faeebac3b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-07-12T17:26:10Z",
    "title_canon_sha256": "f9f99c1ae7a1f5f816e0647b01fa6749c3b8ef6d202314686221970467fa2269"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2055",
    "kind": "arxiv",
    "version": 2
  }
}