Pith Number

pith:63QXVMF6

pith:2016:63QXVMF62ZV4JCIRQB5C6NAZJE

not attested not anchored not stored refs pending

General Edgeworth expansions with applications to profiles of random trees

Alexander Marynych, Henning Sulzbach, Zakhar Kabluchko

arxiv:1606.03920 v3 · 2016-06-13 · math.PR · 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{63QXVMF62ZV4JCIRQB5C6NAZJE}

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	2026-05-18T00:33:39.694350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6e17ab0bed66bc48911807a2f3419493de3b336ef8aeafe06701fca3c7fdf34

Aliases

arxiv: 1606.03920 · arxiv_version: 1606.03920v3 · doi: 10.48550/arxiv.1606.03920 · pith_short_12: 63QXVMF62ZV4 · pith_short_16: 63QXVMF62ZV4JCIR · pith_short_8: 63QXVMF6

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/63QXVMF62ZV4JCIRQB5C6NAZJE \
  | 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: f6e17ab0bed66bc48911807a2f3419493de3b336ef8aeafe06701fca3c7fdf34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c12124b70e378642bf35cd2f4c57929669451e214726d3ba40ed591f0b36375b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-13T12:43:05Z",
    "title_canon_sha256": "b43096f956ffdd5c558e4f44a0ae03c01087f1829e43d87d55bb6c4ba3da002e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03920",
    "kind": "arxiv",
    "version": 3
  }
}