Pith Number

pith:7PGDMHY7

pith:2018:7PGDMHY7OCXBGTGHFS4RGUAXC6

not attested not anchored not stored refs pending

An asymmetric container lemma and the structure of graphs with no induced $4$-cycle

David Saxton, Robert Morris, Wojciech Samotij

arxiv:1806.03706 v1 · 2018-06-10 · math.CO

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7PGDMHY7OCXBGTGHFS4RGUAXC6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:13:42.329661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbcc361f1f70ae134cc72cb913501717a228ede3bb31e02aa9cc3d96dfa785dc

Aliases

arxiv: 1806.03706 · arxiv_version: 1806.03706v1 · doi: 10.48550/arxiv.1806.03706 · pith_short_12: 7PGDMHY7OCXB · pith_short_16: 7PGDMHY7OCXBGTGH · pith_short_8: 7PGDMHY7

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/7PGDMHY7OCXBGTGHFS4RGUAXC6 \
  | 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: fbcc361f1f70ae134cc72cb913501717a228ede3bb31e02aa9cc3d96dfa785dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "687cab8d1c1c6ff3e284cc59d4df0e9d0a6cbc653fe84eabe1b49209f202fe94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-10T18:37:29Z",
    "title_canon_sha256": "65567c7d57e5e7a95a348a643f50239c1f72cf3ad51121ea3d7428ed2e68c9cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03706",
    "kind": "arxiv",
    "version": 1
  }
}