Pith Number

pith:N5E3DZKQ

pith:2019:N5E3DZKQJUQFOLH2KSBVUKFQRU

not attested not anchored not stored refs pending

Counting Egyptian fractions

Carlo Sanna, Giuseppe Molteni, Lo\"ic Greni\'e, Sandro Bettin

arxiv:1906.11986 v2 · 2019-06-27 · 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{N5E3DZKQJUQFOLH2KSBVUKFQRU}

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	2026-05-17T23:40:23.086548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f49b1e5504d20572cfa54835a28b08d05811fa2502e67aa800ecd01e3f60137

Aliases

arxiv: 1906.11986 · arxiv_version: 1906.11986v2 · doi: 10.48550/arxiv.1906.11986 · pith_short_12: N5E3DZKQJUQF · pith_short_16: N5E3DZKQJUQFOLH2 · pith_short_8: N5E3DZKQ

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/N5E3DZKQJUQFOLH2KSBVUKFQRU \
  | 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: 6f49b1e5504d20572cfa54835a28b08d05811fa2502e67aa800ecd01e3f60137

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa7f7eec20c24d5910d0e8ff09b62285e9f7a3abf103b1ff19e3c7aa962e8c68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-27T22:43:08Z",
    "title_canon_sha256": "60c8f0fc486768b8d6927b0f9c36dc33f3e455dd274abd261ec2a4316fbe9daf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11986",
    "kind": "arxiv",
    "version": 2
  }
}