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Pith Number

pith:FI3REXNW

pith:2017:FI3REXNWYOVC75XEW7QDR6LYPF
not attested not anchored not stored refs pending

Decomposing manifolds into Cartesian products

Reinhard Schultz, Slawomir Kwasik

arxiv:1711.11537 v1 · 2017-11-30 · math.GT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FI3REXNWYOVC75XEW7QDR6LYPF}

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 2026-05-18T00:29:11.326686Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2a37125db6c3aa2ff6e4b7e038f978797dc7211f9065cc1f744faa8b144f34cc

Aliases

arxiv: 1711.11537 · arxiv_version: 1711.11537v1 · doi: 10.48550/arxiv.1711.11537 · pith_short_12: FI3REXNWYOVC · pith_short_16: FI3REXNWYOVC75XE · pith_short_8: FI3REXNW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FI3REXNWYOVC75XEW7QDR6LYPF \
  | 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: 2a37125db6c3aa2ff6e4b7e038f978797dc7211f9065cc1f744faa8b144f34cc
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "49a9d02c123557fafab1454272abb6564ce3d295cfdfb51baa4803543fc54f78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-11-30T17:55:27Z",
    "title_canon_sha256": "424e479986ebcad433500cccbc6c13f9583eb1a7722fa66cbdd0911e48070d0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.11537",
    "kind": "arxiv",
    "version": 1
  }
}