Pith Number

pith:5IY263PH

pith:2011:5IY263PHYKES4T6JJ4LHMN6XZW

not attested not anchored not stored refs pending

Remarks on Lagrangian intersections in toric manifolds

Leonardo Macarini, Miguel Abreu

arxiv:1105.0640 v3 · 2011-05-03 · math.SG · 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{5IY263PHYKES4T6JJ4LHMN6XZW}

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	2026-05-18T04:04:30.005719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea31af6de7c2892e4fc94f167637d7cd837fe36ab2ea716bfbf06b95f61af78e

Aliases

arxiv: 1105.0640 · arxiv_version: 1105.0640v3 · doi: 10.48550/arxiv.1105.0640 · pith_short_12: 5IY263PHYKES · pith_short_16: 5IY263PHYKES4T6J · pith_short_8: 5IY263PH

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/5IY263PHYKES4T6JJ4LHMN6XZW \
  | 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: ea31af6de7c2892e4fc94f167637d7cd837fe36ab2ea716bfbf06b95f61af78e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11fc81b893a5e6177c7de68c3c09ccbc99da41839441cb24753736d7f9861b3d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-05-03T17:44:17Z",
    "title_canon_sha256": "fb31147ffba613b7bc63244b7acf8e51da78385882af9cae13bff884e023fc36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0640",
    "kind": "arxiv",
    "version": 3
  }
}