Pith Number

pith:LXMZYJKA

pith:2013:LXMZYJKAWYV6UDWFAOTVGECFEU

not attested not anchored not stored refs pending

On the Ramsey number of the triangle and the cube

David Saxton, Gonzalo Fiz Pontiveros, Jozef Skokan, Robert Morris, Simon Griffiths

arxiv:1302.3840 v1 · 2013-02-15 · 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{LXMZYJKAWYV6UDWFAOTVGECFEU}

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	2026-05-18T03:33:35.535116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dd99c2540b62bea0ec503a7531045253837f5a38f856e8bbd1531c7b5f46851

Aliases

arxiv: 1302.3840 · arxiv_version: 1302.3840v1 · doi: 10.48550/arxiv.1302.3840 · pith_short_12: LXMZYJKAWYV6 · pith_short_16: LXMZYJKAWYV6UDWF · pith_short_8: LXMZYJKA

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/LXMZYJKAWYV6UDWFAOTVGECFEU \
  | 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: 5dd99c2540b62bea0ec503a7531045253837f5a38f856e8bbd1531c7b5f46851

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f550d20ed10538817400e7fce1b15072084bae35b7eb9b2256c0e3af3901f8fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-15T18:32:18Z",
    "title_canon_sha256": "6ee3fa46c15bf14972ddc947c55fccf0d0f1f52c781361bd0149ef6c50df43e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3840",
    "kind": "arxiv",
    "version": 1
  }
}