Pith Number

pith:G2YYG7TO

pith:2017:G2YYG7TOUNU4APCLWITIQ6MXLX

not attested not anchored not stored refs pending

Laplacian Spectrum of non-commuting graphs of finite groups

Jutirekha Dutta, Parama Dutta, Rajat Kanti Nath

arxiv:1705.01275 v1 · 2017-05-03 · 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{G2YYG7TOUNU4APCLWITIQ6MXLX}

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	2026-05-18T00:45:05.493774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36b1837e6ea369c03c4bb2268879975deadd113b374168aa06a2ccbbade73c5d

Aliases

arxiv: 1705.01275 · arxiv_version: 1705.01275v1 · doi: 10.48550/arxiv.1705.01275 · pith_short_12: G2YYG7TOUNU4 · pith_short_16: G2YYG7TOUNU4APCL · pith_short_8: G2YYG7TO

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/G2YYG7TOUNU4APCLWITIQ6MXLX \
  | 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: 36b1837e6ea369c03c4bb2268879975deadd113b374168aa06a2ccbbade73c5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14034e0626495a651b55a1c2dfcd362bb5e61c69d834b60bdee277d079631396",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-05-03T07:10:21Z",
    "title_canon_sha256": "4c636ffdc98ca9edb09d1add60a311c82bb66ce6e17ad14c1bf05addf0842a6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.01275",
    "kind": "arxiv",
    "version": 1
  }
}