Pith Number

pith:VUAXILOU

pith:2016:VUAXILOU6GBY2RIR2FVRZU3TNQ

not attested not anchored not stored refs pending

Asymptotic expansions for factorial moments of some distributions in the analysis of algorithms

Sumit Kumar Jha

arxiv:1611.07336 v1 · 2016-11-22 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUAXILOU6GBY2RIR2FVRZU3TNQ}

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	2026-05-18T00:57:24.264256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad01742dd4f1838d4511d16b1cd3736c1cb32c4e33579971e2e3afea6c67b47e

Aliases

arxiv: 1611.07336 · arxiv_version: 1611.07336v1 · doi: 10.48550/arxiv.1611.07336 · pith_short_12: VUAXILOU6GBY · pith_short_16: VUAXILOU6GBY2RIR · pith_short_8: VUAXILOU

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/VUAXILOU6GBY2RIR2FVRZU3TNQ \
  | 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: ad01742dd4f1838d4511d16b1cd3736c1cb32c4e33579971e2e3afea6c67b47e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "636745326c549d3b35a8791017315138e6440b892bf15c6cfc231d95b9ec8bde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-11-22T14:54:11Z",
    "title_canon_sha256": "af68a8901ebe188416aa844b20144b698f4288728282d4b0df20b5853ea563dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07336",
    "kind": "arxiv",
    "version": 1
  }
}