Pith Number

pith:RDTWPJT7

pith:2011:RDTWPJT7Y2ZONVDMOLZKAQ7HJH

not attested not anchored not stored refs pending

Mean Value Theorems for Binary Egyptian Fractions

Jing-Jing Huang, Robert C. Vaughan

arxiv:1108.0096 v1 · 2011-07-30 · 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{RDTWPJT7Y2ZONVDMOLZKAQ7HJH}

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	2026-05-18T04:16:31.692613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88e767a67fc6b2e6d46c72f2a043e749ccd66732c342b52d25bd89076a8603c2

Aliases

arxiv: 1108.0096 · arxiv_version: 1108.0096v1 · doi: 10.48550/arxiv.1108.0096 · pith_short_12: RDTWPJT7Y2ZO · pith_short_16: RDTWPJT7Y2ZONVDM · pith_short_8: RDTWPJT7

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/RDTWPJT7Y2ZONVDMOLZKAQ7HJH \
  | 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: 88e767a67fc6b2e6d46c72f2a043e749ccd66732c342b52d25bd89076a8603c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89af986caf74015921deb7a44b52ba2f7c08aa0677ec8a1ae0f39974094204fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-07-30T18:22:10Z",
    "title_canon_sha256": "29fdc60fb39f0cd1061eabc661da589f416cec49b047af3dc2bcf38fe4f4f4ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0096",
    "kind": "arxiv",
    "version": 1
  }
}