Pith Number

pith:UIFYZOVY

pith:2011:UIFYZOVY4DZNRZOPZTV46IHGTS

not attested not anchored not stored refs pending

Carleman estimates and necessary conditions for the existence of waveguides

Luca Fanelli, Luis Escauriaza, Luis Vega

arxiv:1105.3230 v1 · 2011-05-16 · 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{UIFYZOVY4DZNRZOPZTV46IHGTS}

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	2026-05-18T04:22:00.360939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a20b8cbab8e0f2d8e5cfccebcf20e69c9e81da4ab6237131fa0c7a6bb8b14d7c

Aliases

arxiv: 1105.3230 · arxiv_version: 1105.3230v1 · doi: 10.48550/arxiv.1105.3230 · pith_short_12: UIFYZOVY4DZN · pith_short_16: UIFYZOVY4DZNRZOP · pith_short_8: UIFYZOVY

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/UIFYZOVY4DZNRZOPZTV46IHGTS \
  | 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: a20b8cbab8e0f2d8e5cfccebcf20e69c9e81da4ab6237131fa0c7a6bb8b14d7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "509302c2f44d7bafa638638c8c4bb026fc036af7b35ce097155d8f8aae4af957",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-16T21:42:34Z",
    "title_canon_sha256": "bfbe10d6567618f1a3480ff5b8f718b255872799c53b1a6eae50c5c8e92b5185"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3230",
    "kind": "arxiv",
    "version": 1
  }
}