Pith Number

pith:MKSFVOHP

pith:2005:MKSFVOHPZN6P6GY2PW7Y4UAWPG

not attested not anchored not stored refs pending

Approximating 1 from below using $n$ Egyptian fractions

K. Soundararajan

arxiv:math/0502247 v1 · 2005-02-11 · math.CA · 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{MKSFVOHPZN6P6GY2PW7Y4UAWPG}

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	2026-07-04T14:39:36.263930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62a45ab8efcb7cff1b1a7dbf8e5016799790cabbc038312d925ce76a817eb3b3

Aliases

arxiv: math/0502247 · arxiv_version: math/0502247v1 · doi: 10.48550/arxiv.math/0502247 · pith_short_12: MKSFVOHPZN6P · pith_short_16: MKSFVOHPZN6P6GY2 · pith_short_8: MKSFVOHP

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/MKSFVOHPZN6P6GY2PW7Y4UAWPG \
  | 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: 62a45ab8efcb7cff1b1a7dbf8e5016799790cabbc038312d925ce76a817eb3b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c638682265f5805979bf2d0e4a9757cfe7558add4dde28ee36362ca14ad1f78",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2005-02-11T21:00:19Z",
    "title_canon_sha256": "7c410089f2eda5a26ca416d97a7dafc1e82684df10b8dff9759f6aea4242a063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502247",
    "kind": "arxiv",
    "version": 1
  }
}