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Pith Number

pith:IEFOETFG

pith:2012:IEFOETFGDRRYBQYZC43D3KCCEU
not attested not anchored not stored refs pending

Some Applications of Number Theory to 3-Manifold Theory

Mehmet Haluk Sengun

arxiv:1203.1428 v2 · 2012-03-07 · math.NT · math.GN · math.GT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IEFOETFGDRRYBQYZC43D3KCCEU}

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 2026-05-18T03:10:24.533158Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

410ae24ca61c6380c31917363da8422538ffa8da24fbb091f443665d947ecac7

Aliases

arxiv: 1203.1428 · arxiv_version: 1203.1428v2 · doi: 10.48550/arxiv.1203.1428 · pith_short_12: IEFOETFGDRRY · pith_short_16: IEFOETFGDRRYBQYZ · pith_short_8: IEFOETFG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IEFOETFGDRRYBQYZC43D3KCCEU \
  | 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: 410ae24ca61c6380c31917363da8422538ffa8da24fbb091f443665d947ecac7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5800c837291388515f7ae139fef92005840b5de69bbde4573694dd833740e8e1",
    "cross_cats_sorted": [
      "math.GN",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-07T10:26:34Z",
    "title_canon_sha256": "ab6a32ead90dc9335e46034531e5f6bccd06b7bd5e62aca744b6626454c76c23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1428",
    "kind": "arxiv",
    "version": 2
  }
}