Pith Number

pith:RB4DO2HE

pith:2006:RB4DO2HEUTZJMHR6B424AAV72D

not attested not anchored not stored refs pending

Minimal Lagrangian surfaces in $S^2 \times S^2$

Francisco Urbano, Ildefonso Castro

arxiv:math/0601637 v1 · 2006-01-26 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RB4DO2HEUTZJMHR6B424AAV72D}

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	2026-05-18T03:39:17.149684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88783768e4a4f2961e3e0f35c002bfd0ca457f5ef964154e744340c97eb9b074

Aliases

arxiv: math/0601637 · arxiv_version: math/0601637v1 · doi: 10.48550/arxiv.math/0601637 · pith_short_12: RB4DO2HEUTZJ · pith_short_16: RB4DO2HEUTZJMHR6 · pith_short_8: RB4DO2HE

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/RB4DO2HEUTZJMHR6B424AAV72D \
  | 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: 88783768e4a4f2961e3e0f35c002bfd0ca457f5ef964154e744340c97eb9b074

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14f44cf0d8044c1d2b7e67eb218b65e2d0ee8ed4732ff2655d75f5c1dc6e6b12",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-01-26T12:30:56Z",
    "title_canon_sha256": "65994683d76ebfe298d4e3d35ea64bc9d5dc198ad8fd43b7d94d92e259665c43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601637",
    "kind": "arxiv",
    "version": 1
  }
}