Pith Number

pith:HX437XAU

pith:2026:HX437XAUJ6IKS5KJEWK2ZRVUQJ

not attested not anchored not stored refs pending

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control

Quanyu Tang, Vjekoslav Kova\v{c}

arxiv:2607.28387 v1 · 2026-07-30 · math.NT · math.CA · math.CO · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HX437XAUJ6IKS5KJEWK2ZRVUQJ}

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	2026-07-31T01:37:30.094075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

3df9bfdc144f90a975492595acc6b4827b2aa5ffcc64f92757c5a1e597bfef80

Aliases

arxiv: 2607.28387 · arxiv_version: 2607.28387v1 · doi: 10.48550/arxiv.2607.28387 · pith_short_12: HX437XAUJ6IK · pith_short_16: HX437XAUJ6IKS5KJ · pith_short_8: HX437XAU

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/HX437XAUJ6IKS5KJEWK2ZRVUQJ \
  | 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: 3df9bfdc144f90a975492595acc6b4827b2aa5ffcc64f92757c5a1e597bfef80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eba10962f395c4879b90020f3c51464cc041f1c1549856dc2178105c788bae4",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-30T15:43:43Z",
    "title_canon_sha256": "c03cba788761bb3271ce3fb9d08628e366662d1610efc2175b421f3db18d72b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28387",
    "kind": "arxiv",
    "version": 1
  }
}