Pith Number

pith:JWLBKYSI

pith:2014:JWLBKYSIGZ3DNQPNQKDW5KOVMQ

not attested not anchored not stored refs pending

Sup norms of Cauchy data of eigenfunctions on manifolds with concave boundary

C. D. Sogge, S. Zelditch

arxiv:1411.1035 v2 · 2014-11-04 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWLBKYSIGZ3DNQPNQKDW5KOVMQ}

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	2026-05-18T00:34:35.598600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d96156248367636c1ed82876ea9d564350a8bcab9399228ccf2d71a7bb929ab

Aliases

arxiv: 1411.1035 · arxiv_version: 1411.1035v2 · doi: 10.48550/arxiv.1411.1035 · pith_short_12: JWLBKYSIGZ3D · pith_short_16: JWLBKYSIGZ3DNQPN · pith_short_8: JWLBKYSI

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/JWLBKYSIGZ3DNQPNQKDW5KOVMQ \
  | 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: 4d96156248367636c1ed82876ea9d564350a8bcab9399228ccf2d71a7bb929ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "924541fce32974b061fd9682b62f5226af458b644e67cbefcc468d776552112b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-04T20:37:42Z",
    "title_canon_sha256": "2efcba286f7851c7e263a3f8fbcd6003ffde6a03a1c4e851dc71b9ebfacd0dbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1035",
    "kind": "arxiv",
    "version": 2
  }
}