Pith Number

pith:WL6OMFB2

pith:2013:WL6OMFB2BILXQE22EIWNMARK67

not attested not anchored not stored refs pending

Hamiltonian minimal Lagrangian submanifolds in toric varieties

Andrey Mironov, Taras Panov

arxiv:1301.2679 v2 · 2013-01-12 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WL6OMFB2BILXQE22EIWNMARK67}

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	2026-05-18T03:16:06.214474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2fce6143a0a1778135a222cd6022af7d995774d796ae5f8e0eb79ef01ae3584

Aliases

arxiv: 1301.2679 · arxiv_version: 1301.2679v2 · doi: 10.48550/arxiv.1301.2679 · pith_short_12: WL6OMFB2BILX · pith_short_16: WL6OMFB2BILXQE22 · pith_short_8: WL6OMFB2

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/WL6OMFB2BILXQE22EIWNMARK67 \
  | 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: b2fce6143a0a1778135a222cd6022af7d995774d796ae5f8e0eb79ef01ae3584

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8cc73be84b45b23df45b3b35ee36f2b7299fa67eba87ea73dd34816010d5f2d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-12T11:47:52Z",
    "title_canon_sha256": "445a06bb39d11a8b4e49517908dc89f9a7af5ccc80f03e1e20b601e239b1ac25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2679",
    "kind": "arxiv",
    "version": 2
  }
}