Pith Number

pith:VX3ENXUL

pith:2010:VX3ENXUL5NWR22HLK7ET5TMZHH

not attested not anchored not stored refs pending

The classification of Hamiltonian stationary Lagrangian tori in the complex projective plane by their spectral data

Ian McIntosh, Richard Hunter

arxiv:1004.1968 v2 · 2010-04-12 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VX3ENXUL5NWR22HLK7ET5TMZHH}

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	2026-05-18T02:42:54.523008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adf646de8beb6d1d68eb57c93ecd9939fedbf80de88024901e129efb38dbb990

Aliases

arxiv: 1004.1968 · arxiv_version: 1004.1968v2 · doi: 10.48550/arxiv.1004.1968 · pith_short_12: VX3ENXUL5NWR · pith_short_16: VX3ENXUL5NWR22HL · pith_short_8: VX3ENXUL

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/VX3ENXUL5NWR22HLK7ET5TMZHH \
  | 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: adf646de8beb6d1d68eb57c93ecd9939fedbf80de88024901e129efb38dbb990

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c90ac2fcca650fd76d0e5e89482fb76e6715beb0dc927cdb8426e73562006a7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-04-12T14:23:00Z",
    "title_canon_sha256": "d8019294239b26dd3951ce142e12c955864afc27c06843a16cfc7a8e8b50db67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1968",
    "kind": "arxiv",
    "version": 2
  }
}