Pith Number

pith:R67QLGV4

pith:2025:R67QLGV4NKMFXYZD2GCYEAZ4SF

not attested not anchored not stored refs pending

Cell structure of mediangle graphs

Anthony Genevois, Kolja Knauer, Victor Chepoi

arxiv:2505.23293 v3 · 2025-05-29 · math.CO · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R67QLGV4NKMFXYZD2GCYEAZ4SF}

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

Weak order on groups generated by involutions

Receipt and verification

First computed	2026-06-02T01:03:31.781349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fbf059abc6a985be323d18582033c915cbb223370d50b8022086f6d4b5efa43

Aliases

arxiv: 2505.23293 · arxiv_version: 2505.23293v3 · doi: 10.48550/arxiv.2505.23293 · pith_short_12: R67QLGV4NKMF · pith_short_16: R67QLGV4NKMFXYZD · pith_short_8: R67QLGV4

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/R67QLGV4NKMFXYZD2GCYEAZ4SF \
  | 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: 8fbf059abc6a985be323d18582033c915cbb223370d50b8022086f6d4b5efa43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b03f5297c62777c8a137b4e8a8272bfb58cc670533e13e2e089730c88410f70",
    "cross_cats_sorted": [
      "math.GR",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-29T09:45:35Z",
    "title_canon_sha256": "2b7cfcd5a042b55edd84733916cd4b14cdeb92ffbcbc57cbda4c31db1564add5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.23293",
    "kind": "arxiv",
    "version": 3
  }
}