Pith Number

pith:7NAVLQFW

pith:2015:7NAVLQFWTHYKRPDOXTH3SLN77Z

not attested not anchored not stored refs pending

A note on weak$^*$-convergence in $h^1(\mathbb R^d)$

Duong Quoc Huy, Ha Duy Hung, Luong Dang Ky

arxiv:1510.03597 v1 · 2015-10-13 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7NAVLQFWTHYKRPDOXTH3SLN77Z}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:50:57.679344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb4155c0b699f0a8bc6ebccfb92dbffe4e42b42a4ed35ba1dd653898496a9f44

Aliases

arxiv: 1510.03597 · arxiv_version: 1510.03597v1 · doi: 10.48550/arxiv.1510.03597 · pith_short_12: 7NAVLQFWTHYK · pith_short_16: 7NAVLQFWTHYKRPDO · pith_short_8: 7NAVLQFW

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/7NAVLQFWTHYKRPDOXTH3SLN77Z \
  | 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: fb4155c0b699f0a8bc6ebccfb92dbffe4e42b42a4ed35ba1dd653898496a9f44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3cf131e154fa3f50ecd878152f5de871b26c60d12d330647e85655fb4716b7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-13T09:46:40Z",
    "title_canon_sha256": "3f58bb303fd960db95dbbab1bd088d960890d8459f10d8e5660a6d4a815c3671"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03597",
    "kind": "arxiv",
    "version": 1
  }
}