Pith Number

pith:G6KLMU2N

pith:2004:G6KLMU2NGTYU3HKHCITN2YMEDJ

not attested not anchored not stored refs pending

A connection between covers of the integers and unit fractions

Zhi-Wei Sun

arxiv:math/0411305 v4 · 2004-11-15 · math.NT · 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{G6KLMU2NGTYU3HKHCITN2YMEDJ}

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	2026-07-04T14:50:08.355171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3794b6534d34f14d9d471226dd61841a7e797fa691511550f4a90d7a5277b4e2

Aliases

arxiv: math/0411305 · arxiv_version: math/0411305v4 · doi: 10.48550/arxiv.math/0411305 · pith_short_12: G6KLMU2NGTYU · pith_short_16: G6KLMU2NGTYU3HKH · pith_short_8: G6KLMU2N

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/G6KLMU2NGTYU3HKHCITN2YMEDJ \
  | 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: 3794b6534d34f14d9d471226dd61841a7e797fa691511550f4a90d7a5277b4e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "236a00ad1591e18113c863828e42e3f79c8bdaa9567492c5f7993cda43ee12d9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2004-11-15T15:56:26Z",
    "title_canon_sha256": "5f654ba5fda91863dec34104ec6adda06c08e4d01f5b2d2dbff782e760f8d856"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411305",
    "kind": "arxiv",
    "version": 4
  }
}