Pith Number

pith:ED3MU62P

pith:2009:ED3MU62PQQ6IGFNOEA6LHOY34V

not attested not anchored not stored refs pending

Some considerations on the nonabelian tensor square of crystallographic groups

Ahmad Erfanian (Ferdowsi University of Mashhad, Francesco G. Russo (Universita' degli Studi di Palermo, Iran), Italy), Johor Bahru, Malaysia), Mashhad, Nor Haniza Sarmin (Universiti Teknologi Malaysia, Palermo

arxiv:0911.5604 v6 · 2009-11-30 · math.GR · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ED3MU62PQQ6IGFNOEA6LHOY34V}

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	2026-05-18T03:53:17.857428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20f6ca7b4f843c8315ae203cb3bb1be5601820d795abc3755378ca075946a87e

Aliases

arxiv: 0911.5604 · arxiv_version: 0911.5604v6 · doi: 10.48550/arxiv.0911.5604 · pith_short_12: ED3MU62PQQ6I · pith_short_16: ED3MU62PQQ6IGFNO · pith_short_8: ED3MU62P

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/ED3MU62PQQ6IGFNOEA6LHOY34V \
  | 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: 20f6ca7b4f843c8315ae203cb3bb1be5601820d795abc3755378ca075946a87e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c69a2438296b9f97c857ab64f0638aa920745ccf0b88d8a513597ffae3c8e599",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-11-30T10:15:53Z",
    "title_canon_sha256": "19e36a4c40f8365e375d740bdc7ba97469b2fec596253444347adc57915c684d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.5604",
    "kind": "arxiv",
    "version": 6
  }
}