Pith Number

pith:EY6AC4G6

pith:2020:EY6AC4G6JQGLB2GJKK3Z2TQORO

not attested not anchored not stored refs pending

$r$-cross $t$-intersecting families via necessary intersection points

Bjarne Sch\"ulke, Pranshu Gupta, Sim\'on Piga, Yannick Mogge

arxiv:2010.11928 v2 · 2020-10-22 · 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{EY6AC4G6JQGLB2GJKK3Z2TQORO}

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	2026-07-05T01:55:14.115995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

263c0170de4c0cb0e8c952b79d4e0e8b8da825163fa4f39a8a8b8016cbbe2ade

Aliases

arxiv: 2010.11928 · arxiv_version: 2010.11928v2 · doi: 10.48550/arxiv.2010.11928 · pith_short_12: EY6AC4G6JQGL · pith_short_16: EY6AC4G6JQGLB2GJ · pith_short_8: EY6AC4G6

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/EY6AC4G6JQGLB2GJKK3Z2TQORO \
  | 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: 263c0170de4c0cb0e8c952b79d4e0e8b8da825163fa4f39a8a8b8016cbbe2ade

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b004e69a2dc82268f85b887421bea88e0db7609eab5cee80ab156719241b10b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-10-22T17:55:55Z",
    "title_canon_sha256": "bd743985e826e12528f3ff99ddb74e42294788327508c2679a4847ee92b39629"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.11928",
    "kind": "arxiv",
    "version": 2
  }
}