Pith Number

pith:2UX2TE6F

pith:2025:2UX2TE6FWPJSPMBVDCOTB2TWIW

not attested not anchored not stored refs pending

Various spectral aspects of NCCC-graphs of certain finite non-abelian groups

Firdous Ee Jannat, Rajat Kanti Nath, Rishabh Chakraborty

arxiv:2508.19616 v1 · 2025-08-27 · math.CO · 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{2UX2TE6FWPJSPMBVDCOTB2TWIW}

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	2026-07-05T12:00:15.111892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d52fa993c5b3d327b035189d30ea7645b26f7bd5fc68deeabdab1dc05913d67e

Aliases

arxiv: 2508.19616 · arxiv_version: 2508.19616v1 · doi: 10.48550/arxiv.2508.19616 · pith_short_12: 2UX2TE6FWPJS · pith_short_16: 2UX2TE6FWPJSPMBV · pith_short_8: 2UX2TE6F

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/2UX2TE6FWPJSPMBVDCOTB2TWIW \
  | 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: d52fa993c5b3d327b035189d30ea7645b26f7bd5fc68deeabdab1dc05913d67e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaabbf0b6ef238adac17970d0372f3331afd429ad39893479ff04eb5019a62f8",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-27T06:49:49Z",
    "title_canon_sha256": "05a0e371c61e58a5cb02ad488a59cd5f5e754cb60534d47538ad4a7e65687fa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.19616",
    "kind": "arxiv",
    "version": 1
  }
}