Pith Number

pith:BO4XU3DP

pith:2013:BO4XU3DPIZIQ6XINMYQ2TEYSH5

not attested not anchored not stored refs pending

Symplectic and contact properties of the Ma\~n\'e critical value of the universal cover

Alfonso Sorrentino, Gabriel P. Paternain

arxiv:1309.1001 v2 · 2013-09-04 · math.DS · 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{BO4XU3DPIZIQ6XINMYQ2TEYSH5}

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	2026-05-18T03:04:15.222251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bb97a6c6f46510f5d0d6621a993123f69ae5504271cfd3c1676047ad096b193

Aliases

arxiv: 1309.1001 · arxiv_version: 1309.1001v2 · doi: 10.48550/arxiv.1309.1001 · pith_short_12: BO4XU3DPIZIQ · pith_short_16: BO4XU3DPIZIQ6XIN · pith_short_8: BO4XU3DP

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/BO4XU3DPIZIQ6XINMYQ2TEYSH5 \
  | 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: 0bb97a6c6f46510f5d0d6621a993123f69ae5504271cfd3c1676047ad096b193

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e165134896a2e1bde05a01ef5498024f280564b0b1b72cc30b02cdcb78126186",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-09-04T12:28:30Z",
    "title_canon_sha256": "f5e00d23632d9b847698942a30abfb785d750d2f8b5fcfe3a93acbf1d41fd9d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1001",
    "kind": "arxiv",
    "version": 2
  }
}