Pith Number

pith:C2FZAQEX

pith:2010:C2FZAQEXA7BVX72QNJF3GFE5ZE

not attested not anchored not stored refs pending

A Note On Lagrangian Vanishing Sphere Bundles

Yochay Jerby

arxiv:1005.5657 v3 · 2010-05-31 · 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{C2FZAQEXA7BVX72QNJF3GFE5ZE}

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	2026-05-18T04:18:34.776496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

168b90409707c35bff506a4bb3149dc917e19290c0777a1a7f45fce2ab725a76

Aliases

arxiv: 1005.5657 · arxiv_version: 1005.5657v3 · doi: 10.48550/arxiv.1005.5657 · pith_short_12: C2FZAQEXA7BV · pith_short_16: C2FZAQEXA7BVX72Q · pith_short_8: C2FZAQEX

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/C2FZAQEXA7BVX72QNJF3GFE5ZE \
  | 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: 168b90409707c35bff506a4bb3149dc917e19290c0777a1a7f45fce2ab725a76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "140f6b3b67dc762b7fb18a3f1b6567ae1b2027621c449545c5e3014b52b25941",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-05-31T10:43:06Z",
    "title_canon_sha256": "05de275e27dab328e1a649839e7d0c649011ebc0f2629ac20ce566d31e78dee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5657",
    "kind": "arxiv",
    "version": 3
  }
}