Pith Number

pith:4PQKHVAW

pith:2025:4PQKHVAWL5PGTGGXAKXDLEXSST

not attested not anchored not stored refs pending

The connection between the chromatic function and the Redei-Berge function

Stefan Mitrovi\'c, Tanja Stojadinovi\'c

arxiv:2506.08841 v1 · 2025-06-10 · 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{4PQKHVAWL5PGTGGXAKXDLEXSST}

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	2026-07-05T11:19:13.978631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3e0a3d4165f5e6998d702ae3592f294f275ef2145d65dbbde66166dcb7e4f69

Aliases

arxiv: 2506.08841 · arxiv_version: 2506.08841v1 · doi: 10.48550/arxiv.2506.08841 · pith_short_12: 4PQKHVAWL5PG · pith_short_16: 4PQKHVAWL5PGTGGX · pith_short_8: 4PQKHVAW

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/4PQKHVAWL5PGTGGXAKXDLEXSST \
  | 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: e3e0a3d4165f5e6998d702ae3592f294f275ef2145d65dbbde66166dcb7e4f69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e9e03becadec6c8d250f8bcf477e4ad797826b4b3100fcf5c30f81af33e9456",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-10T14:27:02Z",
    "title_canon_sha256": "c5f628bab990ed33278749362bede5615a8b432a9a7c62303e831a53b532acef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08841",
    "kind": "arxiv",
    "version": 1
  }
}