Pith Number

pith:EPIWV4QM

pith:2021:EPIWV4QM6DPUJY5EKH2NHZICKP

not attested not anchored not stored refs pending

Spectral radius and clique partitions of graphs

Edwin R. van Dam, Jiang Zhou

arxiv:2111.02734 v1 · 2021-11-04 · 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{EPIWV4QM6DPUJY5EKH2NHZICKP}

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	2026-07-05T03:29:08.025086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23d16af20cf0df44e3a451f4d3e50253c9e91880785d47cdb325b070f90ed42d

Aliases

arxiv: 2111.02734 · arxiv_version: 2111.02734v1 · doi: 10.48550/arxiv.2111.02734 · pith_short_12: EPIWV4QM6DPU · pith_short_16: EPIWV4QM6DPUJY5E · pith_short_8: EPIWV4QM

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/EPIWV4QM6DPUJY5EKH2NHZICKP \
  | 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: 23d16af20cf0df44e3a451f4d3e50253c9e91880785d47cdb325b070f90ed42d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac38839c7e74bb788ad301f69322ab13a687ef56389eb49d53c911413e48f626",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-11-04T10:38:56Z",
    "title_canon_sha256": "96d90879b9b2fa1eb196e1bc700f81b1b51648c17447567144b2dd25ba0e3c11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.02734",
    "kind": "arxiv",
    "version": 1
  }
}