Pith Number

pith:WD4CPYY5

pith:2009:WD4CPYY5VWJ57BE2J6JNVPE4GX

not attested not anchored not stored refs pending

The first Steklov eigenvalue, conformal geometry, and minimal surfaces

Ailana Fraser, Richard Schoen

arxiv:0912.5392 v2 · 2009-12-29 · 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{WD4CPYY5VWJ57BE2J6JNVPE4GX}

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	2026-05-18T04:34:10.133388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0f827e31dad93df849a4f92dabc9c35f10ccd2b80fd4942ade7c4e93e09cb52

Aliases

arxiv: 0912.5392 · arxiv_version: 0912.5392v2 · doi: 10.48550/arxiv.0912.5392 · pith_short_12: WD4CPYY5VWJ5 · pith_short_16: WD4CPYY5VWJ57BE2 · pith_short_8: WD4CPYY5

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/WD4CPYY5VWJ57BE2J6JNVPE4GX \
  | 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: b0f827e31dad93df849a4f92dabc9c35f10ccd2b80fd4942ade7c4e93e09cb52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac533a0362df229c03c982b45b585c45aac7797f30d2ef21e830d28ecfe40dcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-12-29T23:58:21Z",
    "title_canon_sha256": "76e406468f35ab4ade2a255583591aea7366ace560f479e5956bf95195c5f031"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5392",
    "kind": "arxiv",
    "version": 2
  }
}