Pith Number

pith:TWTANMDV

pith:2016:TWTANMDVD6X4NED3K652DW3DAM

not attested not anchored not stored refs pending

Spectrum of commuting graphs of some classes of finite groups

Jutirekha Dutta, Rajat Kanti Nath

arxiv:1604.07133 v1 · 2016-04-25 · 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{TWTANMDVD6X4NED3K652DW3DAM}

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	2026-05-18T01:16:22.944563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9da606b0751fafc6907b57bba1db630337e5b300649593ba51ef3576fa179c0f

Aliases

arxiv: 1604.07133 · arxiv_version: 1604.07133v1 · doi: 10.48550/arxiv.1604.07133 · pith_short_12: TWTANMDVD6X4 · pith_short_16: TWTANMDVD6X4NED3 · pith_short_8: TWTANMDV

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/TWTANMDVD6X4NED3K652DW3DAM \
  | 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: 9da606b0751fafc6907b57bba1db630337e5b300649593ba51ef3576fa179c0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eedb16064f2247e1251f451b81337f48673562eb9ee384d4b83160746260aaf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-04-25T05:20:30Z",
    "title_canon_sha256": "85be6ed65392e96d3e6ad07d6c4763edd90119df736d13f1606e314b8d521437"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07133",
    "kind": "arxiv",
    "version": 1
  }
}