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Pith Number

pith:R34XTQGA

pith:2014:R34XTQGARBH5ZXSGPIUHGWTN2S
not attested not anchored not stored refs pending

Open book decompositions versus prime factorizations of closed, oriented 3-manifolds

Paolo Ghiggini, Paolo Lisca

arxiv:1407.2148 v1 · 2014-07-08 · math.GT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{R34XTQGARBH5ZXSGPIUHGWTN2S}

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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 2026-05-18T02:48:03.185202Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8ef979c0c0884fdcde467a28735a6dd48c45c5579d9890fc9ceb4239cfbb1f48

Aliases

arxiv: 1407.2148 · arxiv_version: 1407.2148v1 · doi: 10.48550/arxiv.1407.2148 · pith_short_12: R34XTQGARBH5 · pith_short_16: R34XTQGARBH5ZXSG · pith_short_8: R34XTQGA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/R34XTQGARBH5ZXSGPIUHGWTN2S \
  | 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: 8ef979c0c0884fdcde467a28735a6dd48c45c5579d9890fc9ceb4239cfbb1f48
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "173fcd1ce3ad0ac0741de60be65221884a9f6f6652fc8cd9fd220326db4cdf6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-07-08T16:06:41Z",
    "title_canon_sha256": "c4fff1f9a2ea87bf8a4c10527a1b29c467f80214c95753da04cd50e888656595"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2148",
    "kind": "arxiv",
    "version": 1
  }
}