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Pith Number

pith:JIJG7OMV

pith:2011:JIJG7OMVGRAZGIEJE7SJESNUCK
not attested not anchored not stored refs pending

Gunning-Narasimhan's theorem with a growth condition

Franc Forstneric, Takeo Ohsawa

arxiv:1106.0936 v5 · 2011-06-05 · math.CV

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JIJG7OMVGRAZGIEJE7SJESNUCK}

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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 2026-05-18T03:15:45.600488Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4a126fb995344193208927e49249b412a8866cf5825612718052b1e4f06c81f2

Aliases

arxiv: 1106.0936 · arxiv_version: 1106.0936v5 · doi: 10.48550/arxiv.1106.0936 · pith_short_12: JIJG7OMVGRAZ · pith_short_16: JIJG7OMVGRAZGIEJ · pith_short_8: JIJG7OMV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JIJG7OMVGRAZGIEJE7SJESNUCK \
  | 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: 4a126fb995344193208927e49249b412a8866cf5825612718052b1e4f06c81f2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "27a283845cfe556af2b40d375bc1efc33d85dc627a131070f10065bbeada0c0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-06-05T22:42:30Z",
    "title_canon_sha256": "9835ad47ed17427b4ef670a04d529ec19b4ca6167af7e8a287f15707cb34cf54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0936",
    "kind": "arxiv",
    "version": 5
  }
}