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Pith Number

pith:NHEXN26Y

pith:2019:NHEXN26YNDVX7HEHQLOOTSBF6J
not attested not anchored not stored refs pending

Properties of minimal charts and their applications V: charts of type $(3,2,2)$

Akiko Shima, Teruo Nagase

arxiv:1902.00007 v1 · 2019-01-31 · math.GT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NHEXN26YNDVX7HEHQLOOTSBF6J}

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 2026-05-17T23:55:01.599133Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

69c976ebd868eb7f9c8782dce9c825f2628edbf3fc1d7b6801075ad308fa25fe

Aliases

arxiv: 1902.00007 · arxiv_version: 1902.00007v1 · doi: 10.48550/arxiv.1902.00007 · pith_short_12: NHEXN26YNDVX · pith_short_16: NHEXN26YNDVX7HEH · pith_short_8: NHEXN26Y
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NHEXN26YNDVX7HEHQLOOTSBF6J \
  | 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: 69c976ebd868eb7f9c8782dce9c825f2628edbf3fc1d7b6801075ad308fa25fe
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fd805de01af295f0e7cb43f20ef57991477a1e027ab699d0f8ac230dbf9862f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-01-31T02:44:28Z",
    "title_canon_sha256": "1fc2bf4a67a74716c465ced356f6affd37fbfef81cd466c33a17af2110723a72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.00007",
    "kind": "arxiv",
    "version": 1
  }
}