Pith Number

pith:HICXFIAK

pith:2013:HICXFIAKIVUEVBOCE7DHABRJ4I

not attested not anchored not stored refs pending

Exterior degree of infinite groups

Francesco G. Russo (Universita' degli Studi di Palermo, Iran), Italy), Malayer, Palermo, Rashid Rezaei (Malayer University

arxiv:1303.2324 v3 · 2013-03-10 · math.GR · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HICXFIAKIVUEVBOCE7DHABRJ4I}

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	2026-05-17T23:58:26.391345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a0572a00a45684a85c227c6700629e2399f1dddc84e4cd73d9e3f9354a02b67

Aliases

arxiv: 1303.2324 · arxiv_version: 1303.2324v3 · doi: 10.48550/arxiv.1303.2324 · pith_short_12: HICXFIAKIVUE · pith_short_16: HICXFIAKIVUEVBOC · pith_short_8: HICXFIAK

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/HICXFIAKIVUEVBOCE7DHABRJ4I \
  | 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: 3a0572a00a45684a85c227c6700629e2399f1dddc84e4cd73d9e3f9354a02b67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddbbb58dd19ef2e38e0a006e1026feb229b00c2faaafdabbf98f9780fd9a7b25",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-03-10T13:56:30Z",
    "title_canon_sha256": "dd5c44bee6fd6541d90745c43d9dda75b726e8d3dfa7f2b4753f5cf8ac3fd575"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2324",
    "kind": "arxiv",
    "version": 3
  }
}