Pith Number

pith:VSWSB5SQ

pith:2018:VSWSB5SQT3NDZDBLXUWZY7JU7A

not attested not anchored not stored refs pending

Two Erd\H{o}s--Hajnal-type Theorems in Hypergraphs

Asaf Shapira, Michal Amir, Mykhaylo Tyomkyn

arxiv:1805.07781 v1 · 2018-05-20 · 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{VSWSB5SQT3NDZDBLXUWZY7JU7A}

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	2026-05-18T00:15:32.572187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acad20f6509eda3c8c2bbd2d9c7d34f8304d230ab0d7177263c03901471ada44

Aliases

arxiv: 1805.07781 · arxiv_version: 1805.07781v1 · doi: 10.48550/arxiv.1805.07781 · pith_short_12: VSWSB5SQT3ND · pith_short_16: VSWSB5SQT3NDZDBL · pith_short_8: VSWSB5SQ

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/VSWSB5SQT3NDZDBLXUWZY7JU7A \
  | 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: acad20f6509eda3c8c2bbd2d9c7d34f8304d230ab0d7177263c03901471ada44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d34dced039620a9c2a32adfeb60f1f900f43e0f4d2edb552e21d59d6e47092d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-20T15:54:45Z",
    "title_canon_sha256": "b139fee98ee105862fab664de2a2273e36236c7d7ee720637b4b6ab553f9d767"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.07781",
    "kind": "arxiv",
    "version": 1
  }
}