Pith Number

pith:6MCRYTU3

pith:2011:6MCRYTU3GNOQM3CYW52X7R6CGI

not attested not anchored not stored refs pending

On anti-Ramsey numbers for complete bipartite graphs and the Turan function

Elliot Krop, Michelle York

arxiv:1108.5204 v2 · 2011-08-25 · 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{6MCRYTU3GNOQM3CYW52X7R6CGI}

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	2026-05-18T01:26:39.930113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3051c4e9b335d066c58b7757fc7c2322da3365c0f7b51e80c736c54ef4dae1e

Aliases

arxiv: 1108.5204 · arxiv_version: 1108.5204v2 · doi: 10.48550/arxiv.1108.5204 · pith_short_12: 6MCRYTU3GNOQ · pith_short_16: 6MCRYTU3GNOQM3CY · pith_short_8: 6MCRYTU3

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/6MCRYTU3GNOQM3CYW52X7R6CGI \
  | 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: f3051c4e9b335d066c58b7757fc7c2322da3365c0f7b51e80c736c54ef4dae1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "480dbfaac6532aef0e6223483dce7d9365fa3ea8ac21199074b72194864fd20e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-25T21:24:23Z",
    "title_canon_sha256": "84947712bd31548e32202622e75bf8cf3e55a739f133349cf9ae2dc72c030a3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5204",
    "kind": "arxiv",
    "version": 2
  }
}