Pith Number

pith:ODIHK5L3

pith:2016:ODIHK5L3T47N24BLW225TFAH5E

not attested not anchored not stored refs pending

Pointwise Bounds for Steklov Eigenfunctions

Jeffrey Galkowski, John A. Toth

arxiv:1611.05363 v3 · 2016-11-16 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODIHK5L3T47N24BLW225TFAH5E}

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	2026-05-18T00:25:27.095395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70d075757b9f3edd702bb6b5d99407e923ca1adf8e3f6f1393baa5f0d97f2748

Aliases

arxiv: 1611.05363 · arxiv_version: 1611.05363v3 · doi: 10.48550/arxiv.1611.05363 · pith_short_12: ODIHK5L3T47N · pith_short_16: ODIHK5L3T47N24BL · pith_short_8: ODIHK5L3

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/ODIHK5L3T47N24BLW225TFAH5E \
  | 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: 70d075757b9f3edd702bb6b5d99407e923ca1adf8e3f6f1393baa5f0d97f2748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a23ea4abba6abb85bb998b46659723b5c999e0217aad4c3f946defc58b3c605",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-16T17:00:33Z",
    "title_canon_sha256": "2c6634c19e9f93c8d6525916ff5695e81d634ed643be63bba99dda4d021d0cf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05363",
    "kind": "arxiv",
    "version": 3
  }
}