Pith Number

pith:OYMSZJBR

pith:2020:OYMSZJBRDWXGO7GNY6YKWQGCT3

not attested not anchored not stored refs pending

Derangements and Continued Fractions for $e$

Peter Lynch

arxiv:2012.12692 v1 · 2020-12-22 · math.HO · 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{OYMSZJBRDWXGO7GNY6YKWQGCT3}

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	2026-07-05T02:01:40.337517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76192ca4311dae677ccdc7b0ab40c29ef4be4c30a8ce6422c7454b7465ac9fd4

Aliases

arxiv: 2012.12692 · arxiv_version: 2012.12692v1 · doi: 10.48550/arxiv.2012.12692 · pith_short_12: OYMSZJBRDWXG · pith_short_16: OYMSZJBRDWXGO7GN · pith_short_8: OYMSZJBR

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/OYMSZJBRDWXGO7GNY6YKWQGCT3 \
  | 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: 76192ca4311dae677ccdc7b0ab40c29ef4be4c30a8ce6422c7454b7465ac9fd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1387793d68bd75f814f78da70adf06f0025378818a081b290705b1a10cdef938",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2020-12-22T13:01:48Z",
    "title_canon_sha256": "7f8312ebbe3bd4584875329829c098fb6a482df5b99573a293c8d5ae5a42a197"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.12692",
    "kind": "arxiv",
    "version": 1
  }
}