Pith Number

pith:KTT4NXM2

pith:2011:KTT4NXM2QP5MEEOFOF6LKTNZF6

not attested not anchored not stored refs pending

Two-part set systems

Bal\'azs Patk\'os, Cory Palmer, D\'aniel Gerbner, Dhruv Mubayi, Nathan Lemons, P\'eter L. Erd\H{o}s

arxiv:1110.0099 v1 · 2011-10-01 · 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{KTT4NXM2QP5MEEOFOF6LKTNZF6}

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	2026-05-18T01:09:25.272730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54e7c6dd9a83fac211c5717cb54db92fbde6a86e93c27ad9d6934f17d6444431

Aliases

arxiv: 1110.0099 · arxiv_version: 1110.0099v1 · doi: 10.48550/arxiv.1110.0099 · pith_short_12: KTT4NXM2QP5M · pith_short_16: KTT4NXM2QP5MEEOF · pith_short_8: KTT4NXM2

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/KTT4NXM2QP5MEEOFOF6LKTNZF6 \
  | 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: 54e7c6dd9a83fac211c5717cb54db92fbde6a86e93c27ad9d6934f17d6444431

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5322c03fa038c503a3e6a359b87aeda80c98a670ed9d33044c7292614fa67119",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-01T13:41:52Z",
    "title_canon_sha256": "9b9b743c7074b2f117d216b7bc94d10fc9ddd0b2851c38692eedfd79169c7ecf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0099",
    "kind": "arxiv",
    "version": 1
  }
}