Pith Number

pith:4YVE6UIE

pith:2011:4YVE6UIEXM7X2QWFTRDZSD5C4J

not attested not anchored not stored refs pending

Mean Value from Representation of Rational Number as Sum of Two Egyptian Fractions

Chaohua Jia

arxiv:1109.0867 v1 · 2011-09-05 · 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{4YVE6UIEXM7X2QWFTRDZSD5C4J}

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	2026-05-18T04:14:06.497936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e62a4f5104bb3f7d42c59c47990fa2e251ae937a312326eab87a28e94161aff2

Aliases

arxiv: 1109.0867 · arxiv_version: 1109.0867v1 · doi: 10.48550/arxiv.1109.0867 · pith_short_12: 4YVE6UIEXM7X · pith_short_16: 4YVE6UIEXM7X2QWF · pith_short_8: 4YVE6UIE

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/4YVE6UIEXM7X2QWFTRDZSD5C4J \
  | 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: e62a4f5104bb3f7d42c59c47990fa2e251ae937a312326eab87a28e94161aff2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f922a822f6d8ba034e411f53274372c343edd36fcc2f9caf7743c529698e804",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-05T12:02:55Z",
    "title_canon_sha256": "17d6c29e39811a1f4062c90a305a948a6cfb9ebc7bcf303ec6294a89760d42ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0867",
    "kind": "arxiv",
    "version": 1
  }
}