Pith Number

pith:L6TUT7IR

pith:2017:L6TUT7IRPAHYNCYUGYGPMAM7AW

not attested not anchored not stored refs pending

Tur\'an numbers for Berge-hypergraphs and related extremal problems

Adam Zsolt Wagner, Cory Palmer, Craig Timmons, Michael Tait

arxiv:1706.04249 v1 · 2017-06-13 · 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{L6TUT7IRPAHYNCYUGYGPMAM7AW}

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	2026-05-18T00:42:23.155927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fa749fd11780f868b14360cf6019f05bbe3dbb50f0c16c710ec6c010012b1e5

Aliases

arxiv: 1706.04249 · arxiv_version: 1706.04249v1 · doi: 10.48550/arxiv.1706.04249 · pith_short_12: L6TUT7IRPAHY · pith_short_16: L6TUT7IRPAHYNCYU · pith_short_8: L6TUT7IR

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/L6TUT7IRPAHYNCYUGYGPMAM7AW \
  | 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: 5fa749fd11780f868b14360cf6019f05bbe3dbb50f0c16c710ec6c010012b1e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6d5b614a86427469d28265f6c0738ff53d7558c49ad0cee757f2a8f56406ca0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-13T20:44:08Z",
    "title_canon_sha256": "0e3c3c75aa9b154f188db571c1f910a166bdf3a681801aebb7e32a3ce1146bb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04249",
    "kind": "arxiv",
    "version": 1
  }
}