Pith Number

pith:5IAPJ5F2

pith:2018:5IAPJ5F2P4GFI3UMMCXQCVELO7

not attested not anchored not stored refs pending

On k-11-representable graphs

Artem Pyatkin, Gi-Sang Cheon, Jinha Kim, Minki Kim, Sergey Kitaev

arxiv:1803.01055 v2 · 2018-03-02 · 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{5IAPJ5F2P4GFI3UMMCXQCVELO7}

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	2026-05-18T00:06:30.713953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea00f4f4ba7f0c546e8c60af01548b77eb5503cb76afaf8ab60b04ceaa0e570d

Aliases

arxiv: 1803.01055 · arxiv_version: 1803.01055v2 · doi: 10.48550/arxiv.1803.01055 · pith_short_12: 5IAPJ5F2P4GF · pith_short_16: 5IAPJ5F2P4GFI3UM · pith_short_8: 5IAPJ5F2

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/5IAPJ5F2P4GFI3UMMCXQCVELO7 \
  | 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: ea00f4f4ba7f0c546e8c60af01548b77eb5503cb76afaf8ab60b04ceaa0e570d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41222a27eaf67870aaa1893fe76e9ca6bdc1433be41684e5f05df78df26ec163",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-02T21:50:21Z",
    "title_canon_sha256": "1ff48a60c0ea4fb7c7c740064d1f7e6f731e59ad8d64529517ab2dd8d2d12d10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01055",
    "kind": "arxiv",
    "version": 2
  }
}