Pith Number

pith:HASBJ6XG

pith:2014:HASBJ6XGYGJWXDRK6TAGFTG3TT

not attested not anchored not stored refs pending

Arithmetic Sets in Groups

Azer Akhmedov, Damiano Fulghesu

arxiv:1412.0308 v1 · 2014-11-30 · math.GR · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HASBJ6XGYGJWXDRK6TAGFTG3TT}

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	2026-05-18T02:32:28.105625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

382414fae6c1936b8e2af4c062ccdb9cef250a992f64ecf61d9906a47faa12b2

Aliases

arxiv: 1412.0308 · arxiv_version: 1412.0308v1 · doi: 10.48550/arxiv.1412.0308 · pith_short_12: HASBJ6XGYGJW · pith_short_16: HASBJ6XGYGJWXDRK · pith_short_8: HASBJ6XG

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/HASBJ6XGYGJWXDRK6TAGFTG3TT \
  | 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: 382414fae6c1936b8e2af4c062ccdb9cef250a992f64ecf61d9906a47faa12b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c9e764831ea2dbe2cbc0da8f4d5946ad066ae46782bf7c6587693456fbf263b",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-11-30T23:48:17Z",
    "title_canon_sha256": "d9d650a934d13455224d08a5ddb867f07665a2d37e8ad3cb95a9e29839460c7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0308",
    "kind": "arxiv",
    "version": 1
  }
}