Pith Number

pith:SAKCNZEJ

pith:2016:SAKCNZEJLDATVXDIDT5BXYPCI6

not attested not anchored not stored refs pending

On a generalisation of Mantel's theorem to uniformly dense hypergraphs

Christian Reiher, Mathias Schacht, Vojt\v{e}ch R\"odl

arxiv:1607.07068 v2 · 2016-07-24 · 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{SAKCNZEJLDATVXDIDT5BXYPCI6}

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	2026-05-17T23:52:19.183667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

901426e48958c13adc681cfa1be1e2478436f29f7bcd50f8baeff034ed89cbd2

Aliases

arxiv: 1607.07068 · arxiv_version: 1607.07068v2 · doi: 10.48550/arxiv.1607.07068 · pith_short_12: SAKCNZEJLDAT · pith_short_16: SAKCNZEJLDATVXDI · pith_short_8: SAKCNZEJ

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/SAKCNZEJLDATVXDIDT5BXYPCI6 \
  | 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: 901426e48958c13adc681cfa1be1e2478436f29f7bcd50f8baeff034ed89cbd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6b34d4c01c9e334f00493b1a503107098d59c0085d3366b783af3c6d987696b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-24T17:14:33Z",
    "title_canon_sha256": "7f9df1d1ecfff352965fc7076e4255f0bb3981def85c6b6ed34c6ce87b945e65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07068",
    "kind": "arxiv",
    "version": 2
  }
}