Pith Number

pith:IXOAZZ7G

pith:2017:IXOAZZ7G5H5S2PYANGZBW6IHVD

not attested not anchored not stored refs pending

Hypergraphs with vanishing Tur\'an density in uniformly dense hypergraphs

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

arxiv:1706.08873 v3 · 2017-06-27 · 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{IXOAZZ7G5H5S2PYANGZBW6IHVD}

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	2026-05-17T23:55:23.290467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45dc0ce7e6e9fb2d3f0069b21b7907a8db4920fefa435873d87c15ecd70fa817

Aliases

arxiv: 1706.08873 · arxiv_version: 1706.08873v3 · doi: 10.48550/arxiv.1706.08873 · pith_short_12: IXOAZZ7G5H5S · pith_short_16: IXOAZZ7G5H5S2PYA · pith_short_8: IXOAZZ7G

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/IXOAZZ7G5H5S2PYANGZBW6IHVD \
  | 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: 45dc0ce7e6e9fb2d3f0069b21b7907a8db4920fefa435873d87c15ecd70fa817

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "535a865b01aa8be0a6397ca4da9b7503c02576001ba2295ab6af535bfcc1d7ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-27T14:16:23Z",
    "title_canon_sha256": "1c9e131e2fc12e039de13dbd96b81847168e5064501890ef61c53f145506720e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08873",
    "kind": "arxiv",
    "version": 3
  }
}