Pith Number

pith:42KHHNT2

pith:2016:42KHHNT2AENLCC7CDX7GSKIQQ4

not attested not anchored not stored refs pending

On integral estimates of non-negative positive definite functions

Andrey Efimov, Marcell Gaal, Szilard Gy. Revesz

arxiv:1612.00235 v1 · 2016-12-01 · 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{42KHHNT2AENLCC7CDX7GSKIQQ4}

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	2026-05-18T00:56:05.658856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e69473b67a011ab10be21dfe69291087165e9896a359bfbbad545dbef51b7c17

Aliases

arxiv: 1612.00235 · arxiv_version: 1612.00235v1 · doi: 10.48550/arxiv.1612.00235 · pith_short_12: 42KHHNT2AENL · pith_short_16: 42KHHNT2AENLCC7C · pith_short_8: 42KHHNT2

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/42KHHNT2AENLCC7CDX7GSKIQQ4 \
  | 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: e69473b67a011ab10be21dfe69291087165e9896a359bfbbad545dbef51b7c17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40de06c8b6163c8b02a714314d1c4e885bacffbde3c78e509b6f4929f5f7d4ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-12-01T13:14:12Z",
    "title_canon_sha256": "7a743b0dce89fc420e8ef8fea4fb10e10dcd3eae8e5ca991c914e61d78eea4d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00235",
    "kind": "arxiv",
    "version": 1
  }
}