Pith Number

pith:XLECVIVE

pith:2021:XLECVIVEGEOTAHTLAM3AGVQ4CT

not attested not anchored not stored refs pending

Large non-trivial $t$-intersecting families for signed sets

Benjian Lv, Kaishun Wang, Tian Yao

arxiv:2104.13089 v1 · 2021-04-27 · 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{XLECVIVEGEOTAHTLAM3AGVQ4CT}

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	2026-07-05T02:35:45.372127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bac82aa2a4311d301e6b033603561c14f191ca1e2e5172b799ca6d4c7d31e629

Aliases

arxiv: 2104.13089 · arxiv_version: 2104.13089v1 · doi: 10.48550/arxiv.2104.13089 · pith_short_12: XLECVIVEGEOT · pith_short_16: XLECVIVEGEOTAHTL · pith_short_8: XLECVIVE

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/XLECVIVEGEOTAHTLAM3AGVQ4CT \
  | 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: bac82aa2a4311d301e6b033603561c14f191ca1e2e5172b799ca6d4c7d31e629

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69fc1c44fce1a2ffbe3bc478fdbd5c0b645f45f9434ac42dc00c5f0b0a0ecf49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-04-27T10:19:58Z",
    "title_canon_sha256": "5bcb61cf30d3a5c7440f72fe8e402a99d6c1afcbf2e0044167a0bb57ca089e9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.13089",
    "kind": "arxiv",
    "version": 1
  }
}