Pith Number

pith:SWTVNP7O

pith:2022:SWTVNP7OUXZI5425YXRW6BN3WU

not attested not anchored not stored refs pending

Some intersection theorems for finite sets

Benjian Lv, Kaishun Wang, Mei Lu, Mengyu Cao

arxiv:2205.10789 v1 · 2022-05-22 · 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{SWTVNP7OUXZI5425YXRW6BN3WU}

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	2026-07-05T04:25:23.578946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95a756bfeea5f28ef35dc5e36f05bbb50023b7b9ae6342ced2a5242c715741b7

Aliases

arxiv: 2205.10789 · arxiv_version: 2205.10789v1 · doi: 10.48550/arxiv.2205.10789 · pith_short_12: SWTVNP7OUXZI · pith_short_16: SWTVNP7OUXZI5425 · pith_short_8: SWTVNP7O

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/SWTVNP7OUXZI5425YXRW6BN3WU \
  | 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: 95a756bfeea5f28ef35dc5e36f05bbb50023b7b9ae6342ced2a5242c715741b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea06594572f4e8ec22c4e0c7773803f7fac45d3136a4ab4c4bf1a6b128f12ef6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-05-22T10:05:40Z",
    "title_canon_sha256": "0c6198d4fac77c531ea8780d456961fc64d0dba119141ceca292f518c06769aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.10789",
    "kind": "arxiv",
    "version": 1
  }
}