pith. sign in
Pith Number

pith:NRPDXN6V

pith:2008:NRPDXN6VK5PN4EZ2QHIGPD4HTI
not attested not anchored not stored refs pending

Hamiltonian elliptic dynamics on symplectic 4-manifolds

Joao Lopes Dias, Mario Bessa

arxiv:0801.3072 v1 · 2008-01-21 · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NRPDXN6VK5PN4EZ2QHIGPD4HTI}

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 2026-05-18T04:39:59.830431Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6c5e3bb7d5575ede133a81d0678f879a3d40939d795cfbfb7fbba2a6cd4359cf

Aliases

arxiv: 0801.3072 · arxiv_version: 0801.3072v1 · doi: 10.48550/arxiv.0801.3072 · pith_short_12: NRPDXN6VK5PN · pith_short_16: NRPDXN6VK5PN4EZ2 · pith_short_8: NRPDXN6V
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NRPDXN6VK5PN4EZ2QHIGPD4HTI \
  | 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: 6c5e3bb7d5575ede133a81d0678f879a3d40939d795cfbfb7fbba2a6cd4359cf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "13440b988ac1eb3d4c91b2623b24a5a8254e30ccf3ae672992a095f635ae58bd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2008-01-21T19:31:49Z",
    "title_canon_sha256": "5e5104335f105d2de3990b466115f7fd232ac942e7c1d12d8117869df9133fb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.3072",
    "kind": "arxiv",
    "version": 1
  }
}