Pith Number

pith:UUVZZSSR

pith:2017:UUVZZSSR3UKVDNDYGGJ7B5E6JM

not attested not anchored not stored refs pending

Counterexamples on matchings in hypergraphs and full rainbow matchings in graphs

Ian M. Wanless, Nick Wormald, Pu Gao, Reshma Ramadurai

arxiv:1710.04807 v1 · 2017-10-13 · 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{UUVZZSSR3UKVDNDYGGJ7B5E6JM}

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	2026-05-18T00:32:56.650166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a52b9cca51dd1551b4783193f0f49e4b3b9a860cca624d1939da6dc9509fcae4

Aliases

arxiv: 1710.04807 · arxiv_version: 1710.04807v1 · doi: 10.48550/arxiv.1710.04807 · pith_short_12: UUVZZSSR3UKV · pith_short_16: UUVZZSSR3UKVDNDY · pith_short_8: UUVZZSSR

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/UUVZZSSR3UKVDNDYGGJ7B5E6JM \
  | 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: a52b9cca51dd1551b4783193f0f49e4b3b9a860cca624d1939da6dc9509fcae4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "554b71b4dfd9d2a4258c2f2940651cd7f2e51d8d017d4b1c3a6116c2635950f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-13T05:23:18Z",
    "title_canon_sha256": "55e546f6319a1532ff89968a15e46b51d76c2bfe789139f53884e2d656133260"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04807",
    "kind": "arxiv",
    "version": 1
  }
}