Pith Number

pith:JFZOJ2E7

pith:2013:JFZOJ2E75HYRNOIFHAG4RDEVVJ

not attested not anchored not stored refs pending

Equivariant symplectic homology and multiple closed Reeb orbits

Jungsoo Kang

arxiv:1305.1245 v2 · 2013-05-06 · math.SG · 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{JFZOJ2E75HYRNOIFHAG4RDEVVJ}

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	2026-05-18T02:40:03.468077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4972e4e89fe9f116b905380dc88c95aa478116b56b8a71be749c9958b8c8473e

Aliases

arxiv: 1305.1245 · arxiv_version: 1305.1245v2 · doi: 10.48550/arxiv.1305.1245 · pith_short_12: JFZOJ2E75HYR · pith_short_16: JFZOJ2E75HYRNOIF · pith_short_8: JFZOJ2E7

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/JFZOJ2E75HYRNOIFHAG4RDEVVJ \
  | 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: 4972e4e89fe9f116b905380dc88c95aa478116b56b8a71be749c9958b8c8473e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0bc0f8411b183c6620c11da74564c7f17222a99c939208ab068cfe53ee7a37f",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-05-06T17:01:00Z",
    "title_canon_sha256": "565865a9544ab1e7490d9bb0be5213b642113a3cde584a5831640720178b8b23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1245",
    "kind": "arxiv",
    "version": 2
  }
}