Pith Number

pith:SIRX6RHJ

pith:2026:SIRX6RHJG2V4I6KMDS2DJLO7X5

not attested not anchored not stored refs pending

On prime character degree graphs occurring within a family of graphs (iii)

G. Sivanesan, Jacob Laubacher, Lorenzo Ravaglia, Mark W. Bissler, Thatcher Debowski, Theodore F. Hoelker

arxiv:2606.05331 v1 · 2026-06-03 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SIRX6RHJG2V4I6KMDS2DJLO7X5}

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	2026-06-05T00:13:54.247450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92237f44e936abc4794c1cb434addfbf524dfe9efddd5a1c410d64835cde72da

Aliases

arxiv: 2606.05331 · arxiv_version: 2606.05331v1 · doi: 10.48550/arxiv.2606.05331 · pith_short_12: SIRX6RHJG2V4 · pith_short_16: SIRX6RHJG2V4I6KM · pith_short_8: SIRX6RHJ

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/SIRX6RHJG2V4I6KMDS2DJLO7X5 \
  | 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: 92237f44e936abc4794c1cb434addfbf524dfe9efddd5a1c410d64835cde72da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59e924cdfb57786a431256346022b323681e9fcbfd194a018f43db8bde4580d1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-03T18:17:35Z",
    "title_canon_sha256": "2b397632e5067f8ef98b9be148a86100add2e40c02d5d53698a1550cd2629512"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05331",
    "kind": "arxiv",
    "version": 1
  }
}