Pith Number

pith:C2Y4R6X7

pith:2017:C2Y4R6X7HD2NIGTWKEXRWE6RUN

not attested not anchored not stored refs pending

Complexity of short generating functions

Danny Nguyen, Igor Pak

arxiv:1702.08660 v4 · 2017-02-28 · math.CO · cs.CC · cs.DM · cs.LO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C2Y4R6X7HD2NIGTWKEXRWE6RUN}

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	2026-05-18T00:33:02.188397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16b1c8faff38f4d41a76512f1b13d1a340437ce578f598584c7ee9d8e75178a3

Aliases

arxiv: 1702.08660 · arxiv_version: 1702.08660v4 · doi: 10.48550/arxiv.1702.08660 · pith_short_12: C2Y4R6X7HD2N · pith_short_16: C2Y4R6X7HD2NIGTW · pith_short_8: C2Y4R6X7

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/C2Y4R6X7HD2NIGTWKEXRWE6RUN \
  | 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: 16b1c8faff38f4d41a76512f1b13d1a340437ce578f598584c7ee9d8e75178a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db2ba9278a0ae610faec2e21d16e958c2b3e02f949378b0d5cac0429c339419a",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM",
      "cs.LO",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-28T06:18:10Z",
    "title_canon_sha256": "e458b26a2b2caadb78ca6deba8026686e604e1c5479f8a82c9da1e54147ce5ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08660",
    "kind": "arxiv",
    "version": 4
  }
}