Pith Number

pith:GQNS2H3H

pith:2016:GQNS2H3HHPF66L5IUN3FHOE5SQ

not attested not anchored not stored refs pending

Asymptotic enumeration by Khintchine-Meinardus method: Necessary and sufficient conditions for sub exponential growth

Boris Granovsky

arxiv:1606.08016 v2 · 2016-06-26 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQNS2H3HHPF66L5IUN3FHOE5SQ}

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	2026-05-18T00:41:41.660437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

341b2d1f673bcbef2fa8a37653b89d942bfd75a401301fa34079112196bb3d98

Aliases

arxiv: 1606.08016 · arxiv_version: 1606.08016v2 · doi: 10.48550/arxiv.1606.08016 · pith_short_12: GQNS2H3HHPF6 · pith_short_16: GQNS2H3HHPF66L5I · pith_short_8: GQNS2H3H

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/GQNS2H3HHPF66L5IUN3FHOE5SQ \
  | 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: 341b2d1f673bcbef2fa8a37653b89d942bfd75a401301fa34079112196bb3d98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6475e71a72779cd7393f852c80f06296407b4e1c32c789078a992a387dff5c6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-26T09:32:50Z",
    "title_canon_sha256": "e002a9a0db3104614ae8fb2caa327849843f8ecbd6a8f71bb4adf6cc3aff98e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08016",
    "kind": "arxiv",
    "version": 2
  }
}