Pith Number

pith:DOJSGQV6

pith:2020:DOJSGQV6PN7RYPCWQOLE2SGPZV

not attested not anchored not stored refs pending

On non-empty cross-intersecting families

Chao Shi, Jianguo Qian, Peter Frankl

arxiv:2009.09396 v2 · 2020-09-20 · 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{DOJSGQV6PN7RYPCWQOLE2SGPZV}

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	2026-07-05T01:41:09.631478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b932342be7b7f1c3c5683964d48cfcd5709df47ea9e10908c97883025a6cb10

Aliases

arxiv: 2009.09396 · arxiv_version: 2009.09396v2 · doi: 10.48550/arxiv.2009.09396 · pith_short_12: DOJSGQV6PN7R · pith_short_16: DOJSGQV6PN7RYPCW · pith_short_8: DOJSGQV6

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/DOJSGQV6PN7RYPCWQOLE2SGPZV \
  | 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: 1b932342be7b7f1c3c5683964d48cfcd5709df47ea9e10908c97883025a6cb10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "708aca92333de34abda79eb3a325c3c22d22e83426573e0352cb9bf3ed63caae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-09-20T09:33:11Z",
    "title_canon_sha256": "d5c000688f157047aa8bcf1392bc6edf1bc5f036e3390cbd89c7ab9cf8267772"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.09396",
    "kind": "arxiv",
    "version": 2
  }
}