Pith Number

pith:K7PCWGIU

pith:2013:K7PCWGIUARX5JVUUMBE3V2TSBJ

not attested not anchored not stored refs pending

The minimum number of disjoint pairs in set systems and related problems

Benny Sudakov, Shagnik Das, Wenying Gan

arxiv:1305.6715 v1 · 2013-05-29 · 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{K7PCWGIUARX5JVUUMBE3V2TSBJ}

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	2026-05-18T03:22:18.058991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57de2b1914046fd4d6946049baea720a587fa2c8459a590ae3ef05a11d20fdcb

Aliases

arxiv: 1305.6715 · arxiv_version: 1305.6715v1 · doi: 10.48550/arxiv.1305.6715 · pith_short_12: K7PCWGIUARX5 · pith_short_16: K7PCWGIUARX5JVUU · pith_short_8: K7PCWGIU

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/K7PCWGIUARX5JVUUMBE3V2TSBJ \
  | 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: 57de2b1914046fd4d6946049baea720a587fa2c8459a590ae3ef05a11d20fdcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "625732cdd9feee6d08933007b777a3a167910f91b518e7cd11a6cd4fead4ca75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-29T08:09:46Z",
    "title_canon_sha256": "f53a9ec74b24445f2d28be443d0ebf4169243f8e36d5c62d55e3640f66e25c45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6715",
    "kind": "arxiv",
    "version": 1
  }
}