Pith Number

pith:NRH4SYR6

pith:2015:NRH4SYR6JGGP5X5652ZNYH6YPF

not attested not anchored not stored refs pending

Regular Graphs with Forbidden Subgraphs of $K_n$ with $k$ Edges

Tuvi Etzion

arxiv:1509.03072 v6 · 2015-09-10 · 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{NRH4SYR6JGGP5X5652ZNYH6YPF}

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	2026-05-18T01:09:12.660775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c4fc9623e498cfedfbeeeb2dc1fd8796cedafde10c8c8f5cb7ad588cd0432fb

Aliases

arxiv: 1509.03072 · arxiv_version: 1509.03072v6 · doi: 10.48550/arxiv.1509.03072 · pith_short_12: NRH4SYR6JGGP · pith_short_16: NRH4SYR6JGGP5X56 · pith_short_8: NRH4SYR6

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/NRH4SYR6JGGP5X5652ZNYH6YPF \
  | 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: 6c4fc9623e498cfedfbeeeb2dc1fd8796cedafde10c8c8f5cb7ad588cd0432fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a2e78fd1b390ceef65d4f285b34361311a23f70b464726c4ba286816d6908d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-10T09:55:41Z",
    "title_canon_sha256": "6665f0a57bef7725682a572d9adb414162c4f3e217d8ace9ec0b61015793c422"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03072",
    "kind": "arxiv",
    "version": 6
  }
}