Pith Number

pith:IOLIRPAU

pith:2013:IOLIRPAU7T232EAQSAUTCE2MM4

not attested not anchored not stored refs pending

An analytic approach to the asymptotic variance of trie statistics and related structures

Hsien-Kuei Hwang, Michael Fuchs, Vytas Zacharovas

arxiv:1303.4244 v3 · 2013-03-18 · math.CO · 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{IOLIRPAU7T232EAQSAUTCE2MM4}

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	2026-05-18T03:27:53.828000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

439688bc14fcf5bd1010902931134c67279ebcb6a474d8355b78f94392eb46cd

Aliases

arxiv: 1303.4244 · arxiv_version: 1303.4244v3 · doi: 10.48550/arxiv.1303.4244 · pith_short_12: IOLIRPAU7T23 · pith_short_16: IOLIRPAU7T232EAQ · pith_short_8: IOLIRPAU

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/IOLIRPAU7T232EAQSAUTCE2MM4 \
  | 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: 439688bc14fcf5bd1010902931134c67279ebcb6a474d8355b78f94392eb46cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "999aa5edd26214b9c3391012c8275866875adc0b3fff7a856cb523f6dc81abc3",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-18T13:23:33Z",
    "title_canon_sha256": "e28e39149fc59784669580c2746fc9e6d24dde9a134dfc6043439cff1fc827f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4244",
    "kind": "arxiv",
    "version": 3
  }
}