Pith Number

pith:3ENA37EV

pith:2016:3ENA37EVNLQEIA6QJOAAIKKBYT

not attested not anchored not stored refs pending

Zarankiewicz Numbers and Bipartite Ramsey Numbers

Alexander Riasanovsky, Alex Collins, John Wallace, Stanis{\l}aw Radziszowski

arxiv:1604.01257 v1 · 2016-04-05 · 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{3ENA37EVNLQEIA6QJOAAIKKBYT}

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	2026-05-18T01:17:38.717278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d91a0dfc956ae04403d04b80042941c4ce1a140db73ae8cfbbf3afa66d6e8ddd

Aliases

arxiv: 1604.01257 · arxiv_version: 1604.01257v1 · doi: 10.48550/arxiv.1604.01257 · pith_short_12: 3ENA37EVNLQE · pith_short_16: 3ENA37EVNLQEIA6Q · pith_short_8: 3ENA37EV

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/3ENA37EVNLQEIA6QJOAAIKKBYT \
  | 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: d91a0dfc956ae04403d04b80042941c4ce1a140db73ae8cfbbf3afa66d6e8ddd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff79ccefd41f03426955babfb2bd8e61e54af60a78a74e9493bbec2037b56247",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-05T13:48:11Z",
    "title_canon_sha256": "e5f642d41478b8c9d668f1edac480a171ad5f9dff73812a93007f838e09dc02b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01257",
    "kind": "arxiv",
    "version": 1
  }
}