Pith Number

pith:OJZC2RI7

pith:2025:OJZC2RI7C3RMXC7SCQTYEO6MBO

not attested not anchored not stored refs pending

Chromatic quasisymmetric functions for signed graphs

Jean-Christophe Aval, Raquel Melgar

arxiv:2508.20200 v1 · 2025-08-27 · 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{OJZC2RI7C3RMXC7SCQTYEO6MBO}

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	2026-07-05T12:00:31.151413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72722d451f16e2cb8bf21427823bcc0bb449a197a2b44ac42cda61c06dfb153f

Aliases

arxiv: 2508.20200 · arxiv_version: 2508.20200v1 · doi: 10.48550/arxiv.2508.20200 · pith_short_12: OJZC2RI7C3RM · pith_short_16: OJZC2RI7C3RMXC7S · pith_short_8: OJZC2RI7

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/OJZC2RI7C3RMXC7SCQTYEO6MBO \
  | 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: 72722d451f16e2cb8bf21427823bcc0bb449a197a2b44ac42cda61c06dfb153f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c946e5ce8ba9a8ec3b7d87cc57c86f502b8a94b3b5bd33fedf4b58c6d6dbc99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-27T18:24:30Z",
    "title_canon_sha256": "9beb91a212583c8d5c82cec66d8cf2eace4c8f2bd16e6aaa077be65f073a0676"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20200",
    "kind": "arxiv",
    "version": 1
  }
}