Pith Number

pith:C56OK6IH

pith:2026:C56OK6IHPPP2JJ2SJZXMVGYBCX

not attested not anchored not stored refs pending

A Delsarte Linear Programming Approach to the Erd\H{o}s--Falconer Distance Problem over Finite Fields

Tao Zhang

arxiv:2606.29965 v1 · 2026-06-29 · math.CO · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C56OK6IHPPP2JJ2SJZXMVGYBCX}

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	2026-06-30T02:17:42.988860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

177ce579077bdfa4a7524e6eca9b0115d45b3ffc8a01962ea62db1a7c7e35498

Aliases

arxiv: 2606.29965 · arxiv_version: 2606.29965v1 · doi: 10.48550/arxiv.2606.29965 · pith_short_12: C56OK6IHPPP2 · pith_short_16: C56OK6IHPPP2JJ2S · pith_short_8: C56OK6IH

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/C56OK6IHPPP2JJ2SJZXMVGYBCX \
  | 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: 177ce579077bdfa4a7524e6eca9b0115d45b3ffc8a01962ea62db1a7c7e35498

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2391ccf8427e6e44537c272af8f44e006a3c35d157199cec41a33144b622d863",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-29T08:43:48Z",
    "title_canon_sha256": "4ad60d91937af0e24381018f5cfff1174106e9672e24cedd12bb7851dc32237a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29965",
    "kind": "arxiv",
    "version": 1
  }
}