Pith Number

pith:PXKERH6M

pith:2010:PXKERH6MCTMLXWY52VEN35XSPC

not attested not anchored not stored refs pending

Do uniruled six-manifolds contain Sol Lagrangian submanifolds?

Fr\'ed\'eric Mangolte (LAMA), Jean-Yves Welschinger (ICJ)

arxiv:1001.2927 v1 · 2010-01-17 · math.SG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PXKERH6MCTMLXWY52VEN35XSPC}

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	2026-05-18T03:26:10.695281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dd4489fcc14d8bbdb1dd548ddf6f27887ee1870b938e8b29bc51717ced7d84e

Aliases

arxiv: 1001.2927 · arxiv_version: 1001.2927v1 · doi: 10.48550/arxiv.1001.2927 · pith_short_12: PXKERH6MCTML · pith_short_16: PXKERH6MCTMLXWY5 · pith_short_8: PXKERH6M

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/PXKERH6MCTMLXWY52VEN35XSPC \
  | 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: 7dd4489fcc14d8bbdb1dd548ddf6f27887ee1870b938e8b29bc51717ced7d84e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22d968878df990ec5ea6df27704dc5224cf557a872134b4d47a8c63f6581ad15",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-01-17T21:17:41Z",
    "title_canon_sha256": "9c32ea1b6f7e8882fe77813a605e826feadd1d9f5765c139e4ec2cc4f8ccc4ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2927",
    "kind": "arxiv",
    "version": 1
  }
}