Pith Number

pith:27OXPEAF

pith:2011:27OXPEAFZLY5GKK2WMDXCP6SKE

not attested not anchored not stored refs pending

Mean value theorems for binary Egyptian fractions II

Jing-Jing Huang, Robert C. Vaughan

arxiv:1109.2274 v1 · 2011-09-11 · 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{27OXPEAFZLY5GKK2WMDXCP6SKE}

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	2026-05-18T04:13:38.145376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7dd779005caf1d3295ab307713fd2513e696b7c25fac21d9f999489e09337dc

Aliases

arxiv: 1109.2274 · arxiv_version: 1109.2274v1 · doi: 10.48550/arxiv.1109.2274 · pith_short_12: 27OXPEAFZLY5 · pith_short_16: 27OXPEAFZLY5GKK2 · pith_short_8: 27OXPEAF

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/27OXPEAFZLY5GKK2WMDXCP6SKE \
  | 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: d7dd779005caf1d3295ab307713fd2513e696b7c25fac21d9f999489e09337dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b112682a7f80cb7611d9d39c49962a7de90c6da2b62c316877c42cda66e953d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-11T01:33:03Z",
    "title_canon_sha256": "ddcfd5990590e06f0d34a97253a073d1a04ad8d46a869c8a54ccdb5a6d9926f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2274",
    "kind": "arxiv",
    "version": 1
  }
}