Pith Number

pith:D6LPF5HQ

pith:2011:D6LPF5HQL55I3OFUQ5MLXQJD2K

not attested not anchored not stored refs pending

Optimal estimates for harmonic functions in the unit ball

David Kalaj, Marijan Markovic

arxiv:1102.3995 v1 · 2011-02-19 · 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{D6LPF5HQL55I3OFUQ5MLXQJD2K}

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	2026-05-18T04:28:19.285783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f96f2f4f05f7a8db8b48758bbc123d2983e68d1436e60054072516dc54d41e4

Aliases

arxiv: 1102.3995 · arxiv_version: 1102.3995v1 · doi: 10.48550/arxiv.1102.3995 · pith_short_12: D6LPF5HQL55I · pith_short_16: D6LPF5HQL55I3OFU · pith_short_8: D6LPF5HQ

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/D6LPF5HQL55I3OFUQ5MLXQJD2K \
  | 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: 1f96f2f4f05f7a8db8b48758bbc123d2983e68d1436e60054072516dc54d41e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96176f8fbf005639d49ae628b4a5551a26d4627cad2556e7473d7afb756d9f2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-02-19T15:58:42Z",
    "title_canon_sha256": "70a8274540fa3696411ee5e5fedd575336a70302b8ed3f6037d39ed2c85ffb5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3995",
    "kind": "arxiv",
    "version": 1
  }
}