Pith Number

pith:NNOTI6LY

pith:2017:NNOTI6LY6XCVAOFTK46JX3Z4S2

not attested not anchored not stored refs pending

A structure theorem for product sets in extra special groups

Le Anh Vinh, Michael Tait, Robert Won, Thang Pham

arxiv:1704.07849 v2 · 2017-04-25 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NNOTI6LY6XCVAOFTK46JX3Z4S2}

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	2026-05-18T00:07:18.709385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b5d347978f5c55038b3573c9bef3c96a7bddc8ba5bac0a685dbb8eb6be3df76

Aliases

arxiv: 1704.07849 · arxiv_version: 1704.07849v2 · doi: 10.48550/arxiv.1704.07849 · pith_short_12: NNOTI6LY6XCV · pith_short_16: NNOTI6LY6XCVAOFT · pith_short_8: NNOTI6LY

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/NNOTI6LY6XCVAOFTK46JX3Z4S2 \
  | 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: 6b5d347978f5c55038b3573c9bef3c96a7bddc8ba5bac0a685dbb8eb6be3df76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6d69cf989b504bf7d318642668ce61466418a76897fb43d44925f3ecb20637a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-25T18:09:49Z",
    "title_canon_sha256": "7c979826ec091ed5d01f941c4bf356ae8858d9e90cfc29513be72fb5257a5139"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07849",
    "kind": "arxiv",
    "version": 2
  }
}