Pith Number

pith:OCKKPXBM

pith:2019:OCKKPXBMAOQUMPDDANN3XGCO4K

not attested not anchored not stored refs pending

New estimate for the multinomial Mittag-Leffler function

Murat Mamchuev

arxiv:1905.11237 v2 · 2019-05-24 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OCKKPXBMAOQUMPDDANN3XGCO4K}

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	2026-05-17T23:44:28.398369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7094a7dc2c03a1463c63035bbb984ee2b73f85fab75249b5ec6b6e8396a0b9ff

Aliases

arxiv: 1905.11237 · arxiv_version: 1905.11237v2 · doi: 10.48550/arxiv.1905.11237 · pith_short_12: OCKKPXBMAOQU · pith_short_16: OCKKPXBMAOQUMPDD · pith_short_8: OCKKPXBM

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/OCKKPXBMAOQUMPDDANN3XGCO4K \
  | 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: 7094a7dc2c03a1463c63035bbb984ee2b73f85fab75249b5ec6b6e8396a0b9ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60d7376c3f1d25dfb8064566e8dec95e9b764142c4cc0dbaaae114b2b8a35273",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2019-05-24T07:30:15Z",
    "title_canon_sha256": "0a1966ccfbbda008827230fb71f51d598295bf677363841203683279606d6f1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.11237",
    "kind": "arxiv",
    "version": 2
  }
}