Pith Number

pith:4OZMWCYB

pith:2016:4OZMWCYBU44F5OLNFELVJWYN3D

not attested not anchored not stored refs pending

On a geometric inequality related to fractional integration

Ting Chen

arxiv:1606.05206 v1 · 2016-06-16 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OZMWCYBU44F5OLNFELVJWYN3D}

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	2026-05-18T01:12:21.820520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3b2cb0b01a7385eb96d291754db0dd8f2856fb858ffb3983f9a5b4cb288a9bf

Aliases

arxiv: 1606.05206 · arxiv_version: 1606.05206v1 · doi: 10.48550/arxiv.1606.05206 · pith_short_12: 4OZMWCYBU44F · pith_short_16: 4OZMWCYBU44F5OLN · pith_short_8: 4OZMWCYB

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/4OZMWCYBU44F5OLNFELVJWYN3D \
  | 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: e3b2cb0b01a7385eb96d291754db0dd8f2856fb858ffb3983f9a5b4cb288a9bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fe5efc03b50fa3b6490aa8976b19332df40d1b57909457f6bc6691c60d5d037",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-06-16T14:38:35Z",
    "title_canon_sha256": "0b831cb26f809e3e5993365daf16c2f8b3b7730b0f2b1f79f95d46c5c3518917"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05206",
    "kind": "arxiv",
    "version": 1
  }
}