Pith Number

pith:CD3XUMBX

pith:2024:CD3XUMBXDZYS6CJF4DKQNJEIN6

not attested not anchored not stored refs pending

Edge zeta function and closed cycles in the standard non-uniform complex from $\operatorname{PGL}_3$

Sanghoon Kwon, Soonki Hong

arxiv:2411.15489 v1 · 2024-11-23 · math.GR · math.CO · math.DS · math.GT · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CD3XUMBXDZYS6CJF4DKQNJEIN6}

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	2026-07-05T09:39:35.703838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10f77a30371e712f0925e0d506a4886f8a2d40c5de9cd3ddeed8e74664726c0c

Aliases

arxiv: 2411.15489 · arxiv_version: 2411.15489v1 · doi: 10.48550/arxiv.2411.15489 · pith_short_12: CD3XUMBXDZYS · pith_short_16: CD3XUMBXDZYS6CJF · pith_short_8: CD3XUMBX

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/CD3XUMBXDZYS6CJF4DKQNJEIN6 \
  | 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: 10f77a30371e712f0925e0d506a4886f8a2d40c5de9cd3ddeed8e74664726c0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b265734b3e0e1948dd2764d28dca471b737729bbe21c9bd338d706c071db689c",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS",
      "math.GT",
      "math.NT",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-11-23T08:16:58Z",
    "title_canon_sha256": "f96ca313f9d89286ef704ba12f2b83c74e7eb6af354841fd8572165b5f2559c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15489",
    "kind": "arxiv",
    "version": 1
  }
}