Pith Number

pith:ZJYY445M

pith:2023:ZJYY445MWU2CUH4STK5EECWDPP

not attested not anchored not stored refs pending

The Redei--Berge symmetric function of a directed graph

Darij Grinberg, Richard P. Stanley

arxiv:2307.05569 v1 · 2023-07-10 · 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{ZJYY445MWU2CUH4STK5EECWDPP}

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

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T06:30:09.960090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca718e73acb5342a1f929aba420ac37be71f23119bf1c0fa395ba17dfd0b8cfd

Aliases

arxiv: 2307.05569 · arxiv_version: 2307.05569v1 · doi: 10.48550/arxiv.2307.05569 · pith_short_12: ZJYY445MWU2C · pith_short_16: ZJYY445MWU2CUH4S · pith_short_8: ZJYY445M

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/ZJYY445MWU2CUH4STK5EECWDPP \
  | 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: ca718e73acb5342a1f929aba420ac37be71f23119bf1c0fa395ba17dfd0b8cfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6042da525b1d6f8e1317659c7669c5895169aa9567ed69f6f7dbc1bbb7f1c658",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-07-10T04:58:21Z",
    "title_canon_sha256": "d63fc7b07161b944ac2420a96cf85a0072e9ab26a691b97e03bcc5e2cdf3c6f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.05569",
    "kind": "arxiv",
    "version": 1
  }
}