Pith Number

pith:ULYN2HKC

pith:2016:ULYN2HKCZY3MHEALNMQXNZUKC3

not attested not anchored not stored refs pending

Subgraphs with large minimum $\ell$-degree in hypergraphs where almost all $\ell$-degrees are large

Allan Lo, Victor Falgas-Ravry

arxiv:1610.06378 v2 · 2016-10-20 · 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{ULYN2HKCZY3MHEALNMQXNZUKC3}

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	2026-05-18T00:18:32.064627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2f0dd1d42ce36c3900b6b2176e68a16faa9159393fa77a9a0f2f67d3061786d

Aliases

arxiv: 1610.06378 · arxiv_version: 1610.06378v2 · doi: 10.48550/arxiv.1610.06378 · pith_short_12: ULYN2HKCZY3M · pith_short_16: ULYN2HKCZY3MHEAL · pith_short_8: ULYN2HKC

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/ULYN2HKCZY3MHEALNMQXNZUKC3 \
  | 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: a2f0dd1d42ce36c3900b6b2176e68a16faa9159393fa77a9a0f2f67d3061786d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "365cb0714510b6f0a0da97e39fda0c389d871c726fbcb1ba64bfcc0d0c3ad692",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-20T12:28:03Z",
    "title_canon_sha256": "15d6ae80fbeda92782905a08d74ba7f2d0835792a84db8fc7cd1adc45ca576c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06378",
    "kind": "arxiv",
    "version": 2
  }
}