Pith Number

pith:ZMB4FXNV

pith:2011:ZMB4FXNVOXNSTJWGKB57AHI7UB

not attested not anchored not stored refs pending

Egyptian Fractions with Restrictions

Christian Elsholtz, Li-Li Jiang, Yong-Gao Chen

arxiv:1108.6118 v1 · 2011-08-31 · 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{ZMB4FXNVOXNSTJWGKB57AHI7UB}

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	2026-05-18T02:42:54.389988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb03c2ddb575db29a6c6507bf01d1fa052c0b6139ab3cf35d6dc73abcd75efe0

Aliases

arxiv: 1108.6118 · arxiv_version: 1108.6118v1 · doi: 10.48550/arxiv.1108.6118 · pith_short_12: ZMB4FXNVOXNS · pith_short_16: ZMB4FXNVOXNSTJWG · pith_short_8: ZMB4FXNV

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/ZMB4FXNVOXNSTJWGKB57AHI7UB \
  | 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: cb03c2ddb575db29a6c6507bf01d1fa052c0b6139ab3cf35d6dc73abcd75efe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea9941a0ae64686d381c540365a51835768f65135ddc37332fec9e6bbefba4b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-31T03:08:56Z",
    "title_canon_sha256": "21735d599f4be1c5fae3f85a7d3cdf6fc160796fd4050b179601878edadfa90d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6118",
    "kind": "arxiv",
    "version": 1
  }
}