Pith Number

pith:3UZH4IZM

pith:2016:3UZH4IZMMQWJUSS4VMQBXZJCIT

not attested not anchored not stored refs pending

Counting results for sparse pseudorandom hypergraphs I

Anusch Taraz, Guilherme O. Mota, Mathias Schacht, Yoshiharu Kohayakawa

arxiv:1602.08782 v1 · 2016-02-28 · 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{3UZH4IZMMQWJUSS4VMQBXZJCIT}

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	2026-05-18T00:31:45.481219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd327e232c642c9a4a5cab201be52244cf395feea203c49c7f658fbdb00d5516

Aliases

arxiv: 1602.08782 · arxiv_version: 1602.08782v1 · doi: 10.48550/arxiv.1602.08782 · pith_short_12: 3UZH4IZMMQWJ · pith_short_16: 3UZH4IZMMQWJUSS4 · pith_short_8: 3UZH4IZM

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/3UZH4IZMMQWJUSS4VMQBXZJCIT \
  | 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: dd327e232c642c9a4a5cab201be52244cf395feea203c49c7f658fbdb00d5516

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "214871536cdf296ea0b37c230f4734d06ef887c7c0233d7d3fe4f0caaf07568a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-28T23:18:20Z",
    "title_canon_sha256": "37e0e8e3c8fda1bce4ace052699bc93e1a7d4dbfcce3b3bcbb5ae3a855a2ff39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08782",
    "kind": "arxiv",
    "version": 1
  }
}