Pith Number

pith:H4TO4Q6M

pith:2023:H4TO4Q6MKUGAONJ4A4SMMQDBTN

not attested not anchored not stored refs pending

The Four-Color Ramsey Multiplicity of Triangles

Aldo Kiem, Christoph Spiegel, Sebastian Pokutta

arxiv:2312.08049 v1 · 2023-12-13 · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H4TO4Q6MKUGAONJ4A4SMMQDBTN}

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.

Cited by

2 papers in Pith

Local maximum of inducibility profiles

An Unsure Note on an Un-Schur Problem

Receipt and verification

First computed	2026-07-05T07:23:40.630570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f26ee43cc550c07353c0724c640619b57e687dff5960931c5b71f90516f3be0

Aliases

arxiv: 2312.08049 · arxiv_version: 2312.08049v1 · doi: 10.48550/arxiv.2312.08049 · pith_short_12: H4TO4Q6MKUGA · pith_short_16: H4TO4Q6MKUGAONJ4 · pith_short_8: H4TO4Q6M

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/H4TO4Q6MKUGAONJ4A4SMMQDBTN \
  | 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: 3f26ee43cc550c07353c0724c640619b57e687dff5960931c5b71f90516f3be0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc9ff58970a6d6cf4469ed08032d0f010c0f2cb045ec51810f5e6af9564626c6",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-12-13T10:58:53Z",
    "title_canon_sha256": "f38527260fa3f5aafc54f52e44a1ba511cd825da152790d551c5edfd5087e77b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.08049",
    "kind": "arxiv",
    "version": 1
  }
}