Pith Number

pith:ZU4SGTUN

pith:2013:ZU4SGTUN3YXZ3IMXPGCISRN4PK

not attested not anchored not stored refs pending

An Erd\H os--Ko--Rado theorem for cross $t$-intersecting families

Mark Siggers, Norihide Tokushige, Peter Frankl, Sang June Lee

arxiv:1303.0657 v4 · 2013-03-04 · 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{ZU4SGTUN3YXZ3IMXPGCISRN4PK}

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	2026-05-18T02:23:35.608378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd39234e8dde2f9da19779848945bc7ab08ee77f372ad4f476eb3862fad1399e

Aliases

arxiv: 1303.0657 · arxiv_version: 1303.0657v4 · doi: 10.48550/arxiv.1303.0657 · pith_short_12: ZU4SGTUN3YXZ · pith_short_16: ZU4SGTUN3YXZ3IMX · pith_short_8: ZU4SGTUN

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/ZU4SGTUN3YXZ3IMXPGCISRN4PK \
  | 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: cd39234e8dde2f9da19779848945bc7ab08ee77f372ad4f476eb3862fad1399e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6a5d7e14143c994b8e1fb600bab8714462e2e4469b02979f49cfdc93002ae07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-04T09:52:13Z",
    "title_canon_sha256": "d197ebac382b5208ef32a66f9d547d1657ce87c75efcb1c98fe70e2b8d2b6883"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0657",
    "kind": "arxiv",
    "version": 4
  }
}