Pith Number

pith:ZEY3AXHR

pith:2026:ZEY3AXHRIJE6I24BNWWME7CQLS

not attested not anchored not stored refs pending

A Resolution of Erd\H{o}s Problem 731 under Dyadic Regularity

Eric Li (Trinity College, University of Cambridge)

arxiv:2606.29062 v1 · 2026-06-27 · 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{ZEY3AXHRIJE6I24BNWWME7CQLS}

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	2026-06-30T01:17:51.253533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c931b05cf14249e46b816dacc27c505c939f2c588603c8b8be55710918054b6c

Aliases

arxiv: 2606.29062 · arxiv_version: 2606.29062v1 · doi: 10.48550/arxiv.2606.29062 · pith_short_12: ZEY3AXHRIJE6 · pith_short_16: ZEY3AXHRIJE6I24B · pith_short_8: ZEY3AXHR

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/ZEY3AXHRIJE6I24BNWWME7CQLS \
  | 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: c931b05cf14249e46b816dacc27c505c939f2c588603c8b8be55710918054b6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a53a3f692a6de9572d3edf570f97471b2979cc0fe33e3d227578f101fd63b5b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-27T19:39:59Z",
    "title_canon_sha256": "5fe111cc6f5c18f59faef1eb77dd6babb070e5d3aef55a45bdae8de45884f548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29062",
    "kind": "arxiv",
    "version": 1
  }
}