Pith Number

pith:SVH7TIVJ

pith:2016:SVH7TIVJMIOPQU5OYBPY2JQVVF

not attested not anchored not stored refs pending

Transference for the Erd\H{o}s-Ko-Rado theorem

B\'ela Bollob\'as, Bhargav Narayanan, J\'ozsef Balogh

arxiv:1609.01001 v2 · 2016-09-05 · 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{SVH7TIVJMIOPQU5OYBPY2JQVVF}

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	2026-05-18T01:05:41.438760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

954ff9a2a9621cf853aec05f8d2615a97b5d46eb3a0f00172af6785df2b597ef

Aliases

arxiv: 1609.01001 · arxiv_version: 1609.01001v2 · doi: 10.48550/arxiv.1609.01001 · pith_short_12: SVH7TIVJMIOP · pith_short_16: SVH7TIVJMIOPQU5O · pith_short_8: SVH7TIVJ

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/SVH7TIVJMIOPQU5OYBPY2JQVVF \
  | 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: 954ff9a2a9621cf853aec05f8d2615a97b5d46eb3a0f00172af6785df2b597ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31de11504d414597797c8b2972c942ae5e61a0048359dd6a044e2d0218a7044d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-05T00:12:07Z",
    "title_canon_sha256": "74c3e552466e86eba351739c270b85edd825f9235bd8720c6037e85c0839ea88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01001",
    "kind": "arxiv",
    "version": 2
  }
}