Pith Number

pith:E4NVGV5R

pith:2016:E4NVGV5RMFB2K3BDVLJ2GYIRAB

not attested not anchored not stored refs pending

Super-approximation, II: the p-adic and bounded power of square-free integers cases

Alireza Salehi Golsefidy

arxiv:1602.00409 v2 · 2016-02-01 · 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{E4NVGV5RMFB2K3BDVLJ2GYIRAB}

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	2026-05-18T00:23:57.286735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

271b5357b16143a56c23aad3a3611100702d9c7da41ef9cdb34da447fccc3755

Aliases

arxiv: 1602.00409 · arxiv_version: 1602.00409v2 · doi: 10.48550/arxiv.1602.00409 · pith_short_12: E4NVGV5RMFB2 · pith_short_16: E4NVGV5RMFB2K3BD · pith_short_8: E4NVGV5R

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/E4NVGV5RMFB2K3BDVLJ2GYIRAB \
  | 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: 271b5357b16143a56c23aad3a3611100702d9c7da41ef9cdb34da447fccc3755

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6919458d32a8381325cb0ca2ad3fce2a4f5a296a2568b8b1e85ccc6bc8f726b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-02-01T07:06:09Z",
    "title_canon_sha256": "f0d615a1dbd347cbd343e10c4f5e2d94d9f4858cf64628f85ffe351212c85d7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00409",
    "kind": "arxiv",
    "version": 2
  }
}