Pith Number

pith:AZQSZBH5

pith:2018:AZQSZBH5M7CDW3ZS2WD6HLIFU7

not attested not anchored not stored refs pending

Uniformity thresholds for the asymptotic size of extremal Berge-$F$-free hypergraphs

Abhishek Methuku, Casey Tompkins, D\'aniel Gr\'osz

arxiv:1803.01953 v1 · 2018-03-05 · 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{AZQSZBH5M7CDW3ZS2WD6HLIFU7}

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	2026-05-18T00:21:56.221584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06612c84fd67c43b6f32d587e3ad05a7fc53150c9b773c0b96d1bf25e0d27c5b

Aliases

arxiv: 1803.01953 · arxiv_version: 1803.01953v1 · doi: 10.48550/arxiv.1803.01953 · pith_short_12: AZQSZBH5M7CD · pith_short_16: AZQSZBH5M7CDW3ZS · pith_short_8: AZQSZBH5

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/AZQSZBH5M7CDW3ZS2WD6HLIFU7 \
  | 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: 06612c84fd67c43b6f32d587e3ad05a7fc53150c9b773c0b96d1bf25e0d27c5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "534d0e98473c8b564295b1aac0fe858bf92917055f88bcac1d61ca7e94520796",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-05T22:41:00Z",
    "title_canon_sha256": "66b8bc9aab1bd6bcbe5d34450b25561dc61add60206bedc8cfd9f180ca9aa95d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01953",
    "kind": "arxiv",
    "version": 1
  }
}