pith. sign in
Pith Number

pith:EUIETYH7

pith:2018:EUIETYH7ZO5B2VU4KOQYNLK4QK
not attested not anchored not stored refs pending

Inducing Super-Approximation

Alireza Salehi Golsefidy, Xin Zhang

arxiv:1802.03561 v1 · 2018-02-10 · math.GR · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EUIETYH7ZO5B2VU4KOQYNLK4QK}

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 2026-05-18T00:23:51.159139Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

251049e0ffcbba1d569c53a186ad5c8295229ced36796fbe9e66a8ace30dce09

Aliases

arxiv: 1802.03561 · arxiv_version: 1802.03561v1 · doi: 10.48550/arxiv.1802.03561 · pith_short_12: EUIETYH7ZO5B · pith_short_16: EUIETYH7ZO5B2VU4 · pith_short_8: EUIETYH7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EUIETYH7ZO5B2VU4KOQYNLK4QK \
  | 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: 251049e0ffcbba1d569c53a186ad5c8295229ced36796fbe9e66a8ace30dce09
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "081d73cce71d763fb5102fbbc7c62dc7995d03155c4e2653c0f713de9258e42a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-02-10T09:53:23Z",
    "title_canon_sha256": "89530d5deb65ca64c3bc157300e10bca1b72ae5daed795bbf1934906cead7f5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.03561",
    "kind": "arxiv",
    "version": 1
  }
}