Pith Number

pith:HHFOYEMQ

pith:2018:HHFOYEMQ2CORTJEML34WLMZ7BT

not attested not anchored not stored refs pending

The Necklace Process: A Generating Function Approach

Benjamin Hackl, Helmut Prodinger

arxiv:1801.09934 v2 · 2018-01-30 · 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{HHFOYEMQ2CORTJEML34WLMZ7BT}

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	2026-05-18T00:10:03.080911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39caec1190d09d19a48c5ef965b33f0cc8c0d8b13e8c9d08b4428dde5ce0114c

Aliases

arxiv: 1801.09934 · arxiv_version: 1801.09934v2 · doi: 10.48550/arxiv.1801.09934 · pith_short_12: HHFOYEMQ2COR · pith_short_16: HHFOYEMQ2CORTJEM · pith_short_8: HHFOYEMQ

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/HHFOYEMQ2CORTJEML34WLMZ7BT \
  | 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: 39caec1190d09d19a48c5ef965b33f0cc8c0d8b13e8c9d08b4428dde5ce0114c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "184dc4a61ce5073ff64965f9a2fce9a6142f471467aa40bee5cc73b71a27da39",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-01-30T11:28:49Z",
    "title_canon_sha256": "27dc67474bf333d35bc6a95153399d39e55c010b668748aaba19d0247c35d710"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09934",
    "kind": "arxiv",
    "version": 2
  }
}