Pith Number

pith:4HE4AWD3

pith:2026:4HE4AWD3XJMGZDBJLQZE57NEHN

not attested not anchored not stored refs pending

Improved bound on symmetric differences of intersecting families

Lihua Feng, Qifan Wang, Yongjiang Wu

arxiv:2606.20043 v1 · 2026-06-18 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HE4AWD3XJMGZDBJLQZE57NEHN}

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	2026-06-19T16:13:01.416641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1c9c0587bba586c8c295c324efda43b6b0316bb1724306be745f7570bfb9386

Aliases

arxiv: 2606.20043 · arxiv_version: 2606.20043v1 · doi: 10.48550/arxiv.2606.20043 · pith_short_12: 4HE4AWD3XJMG · pith_short_16: 4HE4AWD3XJMGZDBJ · pith_short_8: 4HE4AWD3

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/4HE4AWD3XJMGZDBJLQZE57NEHN \
  | 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: e1c9c0587bba586c8c295c324efda43b6b0316bb1724306be745f7570bfb9386

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc87fffe55e5cf6cc67db7145886dc92d4d7d486025195b9b705024b0e9cbcaf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-18T10:21:25Z",
    "title_canon_sha256": "6aade5c975c611b231a0ba5981045cf0317876dfd88048d7c92de51af922541a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20043",
    "kind": "arxiv",
    "version": 1
  }
}