Pith Number

pith:XY52CDFX

pith:2014:XY52CDFXX6YH4F3KGMKQ4YWQFQ

not attested not anchored not stored refs pending

Toric constructions of monotone Lagrangian submanifolds in $\mathbb{CP}^2$ and $\mathbb{CP}^1 \times \mathbb{CP}^1$

Agn\`es Gadbled, Miguel Abreu

arxiv:1411.6564 v2 · 2014-11-24 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XY52CDFXX6YH4F3KGMKQ4YWQFQ}

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	2026-05-18T01:31:03.547345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be3ba10cb7bfb07e176a33150e62d02c1389839152de93ea8d3764fb0db2bf73

Aliases

arxiv: 1411.6564 · arxiv_version: 1411.6564v2 · doi: 10.48550/arxiv.1411.6564 · pith_short_12: XY52CDFXX6YH · pith_short_16: XY52CDFXX6YH4F3K · pith_short_8: XY52CDFX

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/XY52CDFXX6YH4F3KGMKQ4YWQFQ \
  | 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: be3ba10cb7bfb07e176a33150e62d02c1389839152de93ea8d3764fb0db2bf73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45fbf52764d10e80ba6d570831c92c2b0a3670c930e80ebe224e206e4a0969ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-11-24T18:38:07Z",
    "title_canon_sha256": "24f591b695c112865bcc1d6a30334eb2c460d13e6e621ac80bfbbe2fda4c1b3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6564",
    "kind": "arxiv",
    "version": 2
  }
}