Pith Number

pith:2EY5UFGR

pith:2016:2EY5UFGR7HI4CRA6BWKYMLLDSW

not attested not anchored not stored refs pending

Mixed weak type estimates: Examples and counterexamples related to a problem of E. Sawyer

Carlos Perez, Sheldy Ombrosi

arxiv:1607.05964 v1 · 2016-07-20 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2EY5UFGR7HI4CRA6BWKYMLLDSW}

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	2026-05-18T01:10:43.580976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d131da14d1f9d1c1441e0d95862d6395a7d902acd3b6bd8db4ce00c2c67fb0c5

Aliases

arxiv: 1607.05964 · arxiv_version: 1607.05964v1 · doi: 10.48550/arxiv.1607.05964 · pith_short_12: 2EY5UFGR7HI4 · pith_short_16: 2EY5UFGR7HI4CRA6 · pith_short_8: 2EY5UFGR

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/2EY5UFGR7HI4CRA6BWKYMLLDSW \
  | 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: d131da14d1f9d1c1441e0d95862d6395a7d902acd3b6bd8db4ce00c2c67fb0c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ed91f96dd9cbe68e0f261bcfd18891bdd247663f6c91b925e0404f59e0b709c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-07-20T14:04:31Z",
    "title_canon_sha256": "5ccd7fc2bb4df0bc164b863cde487776490c4a6a26bc0cc24256a8638e6c367d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05964",
    "kind": "arxiv",
    "version": 1
  }
}