Pith Number

pith:ZVNOTZIZ

pith:2013:ZVNOTZIZ6PZZRKUVG3QGSYVKSE

not attested not anchored not stored refs pending

Symplectic homology of displaceable Liouville domains and Leafwise intersection points

Jungsoo Kang

arxiv:1305.1041 v2 · 2013-05-05 · 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{ZVNOTZIZ6PZZRKUVG3QGSYVKSE}

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	2026-05-18T02:40:03.476610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd5ae9e519f3f398aa9536e06962aa911172a402a942f4ae623c46717f3c1435

Aliases

arxiv: 1305.1041 · arxiv_version: 1305.1041v2 · doi: 10.48550/arxiv.1305.1041 · pith_short_12: ZVNOTZIZ6PZZ · pith_short_16: ZVNOTZIZ6PZZRKUV · pith_short_8: ZVNOTZIZ

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/ZVNOTZIZ6PZZRKUVG3QGSYVKSE \
  | 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: cd5ae9e519f3f398aa9536e06962aa911172a402a942f4ae623c46717f3c1435

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41e1d2927252e936ffca3bd2456addf808e76d400be515f43a23f2ee9d660ef3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-05-05T19:01:48Z",
    "title_canon_sha256": "af950903634608e9d85a27bd96f39374673b3780c46f7d3747a7f9d910ad6216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1041",
    "kind": "arxiv",
    "version": 2
  }
}