Pith Number

pith:O4A4SMQC

pith:2017:O4A4SMQCNKBQAS6UKDULGLPOCD

not attested not anchored not stored refs pending

On Minkowski type question mark functions associated with even or odd continued fractions

Christopher Linden, Florin P. Boca

arxiv:1705.01238 v4 · 2017-05-03 · math.DS · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4A4SMQCNKBQAS6UKDULGLPOCD}

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	2026-05-17T23:47:08.863003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7701c932026a83004bd450e8b32dee10ff42680c2e8c102266edfb6cc6c81404

Aliases

arxiv: 1705.01238 · arxiv_version: 1705.01238v4 · doi: 10.48550/arxiv.1705.01238 · pith_short_12: O4A4SMQCNKBQ · pith_short_16: O4A4SMQCNKBQAS6U · pith_short_8: O4A4SMQC

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/O4A4SMQCNKBQAS6UKDULGLPOCD \
  | 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: 7701c932026a83004bd450e8b32dee10ff42680c2e8c102266edfb6cc6c81404

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cbd24fed16a36a3e891918bff4640ca5266a16d72ea69cef885cdced4ddeba7",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-05-03T02:26:23Z",
    "title_canon_sha256": "b2e76b8f3793e80e099f2076ccf067a49b3daae8db37fdefd154da5a0fd361c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.01238",
    "kind": "arxiv",
    "version": 4
  }
}